Q02 Q02 Q02

CENTURY 21
www.century21.com
Facts:
â€¢ 1971: Founded in California
â€¢ 1977: Went Public
â€¢ 2006: Bought by Apollo Investments
â€¢ 2013: Offices and Listings in over 70 countries
Century 21 Real Estate Corporation franchises real estate offices. It has more than 8500 independently owned and operated offices, with locations in all 50 states and more than 70 countries. The firm's Web site, Century21.com, is the fifth most visited real estate Web site on the Internet.
Tom Dugally worked as an agent for Century 21 for several years before he received his broker's license. A few years later, he contacted Century 21 and they helped him set up his own real estate office under a Century 21 franchise. He uses percents on a daily basis to find real estate commissions, monitor costs, follow interest rates, estimate property taxes, and keep up with home prices.
Dugally owned a small apartment complex that was worth $865,000 last year. He sold it for $892,680 this year. Find the percent increase in value. ________________

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The formula of percentage â€¦â€¦ (1) D owned a small apartment complex worth $865,000 last year, and he sold the same for $892,680 this year. Find out the percent increase in value in the following way: The change in amount comes out to be $27,680 and the base is $865,000. Use the formula in equation (1) and solve the percentage increase in value. Hence, the percent increase in value is 3.2%.

Recall the property that you can change from a decimal to a percent by moving the decimal point two places to the right and adding a percent sign. You get In conclusion, you obtain that the percent form for 0.375 is .

Q04 Q04 Q04

CENTURY 21
www.century21.com
Facts:
â€¢ 1971: Founded in California
â€¢ 1977: Went Public
â€¢ 2006: Bought by Apollo Investments
â€¢ 2013: Offices and Listings in over 70 countries
Century 21 Real Estate Corporation franchises real estate offices. It has more than 8500 independently owned and operated offices, with locations in all 50 states and more than 70 countries. The firm's Web site, Century21.com, is the fifth most visited real estate Web site on the Internet.
Tom Dugally worked as an agent for Century 21 for several years before he received his broker's license. A few years later, he contacted Century 21 and they helped him set up his own real estate office under a Century 21 franchise. He uses percents on a daily basis to find real estate commissions, monitor costs, follow interest rates, estimate property taxes, and keep up with home prices.
Mr. Makin wants Dugally's agency to sell a similar property. Last year, this property had a value of $1,145,000. Use the percent increase from (1) to estimate the current value of this property. ________________

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Q06 Q06 Q06

CENTURY 21
www.century21.com
Facts:
â€¢ 1971: Founded in California
â€¢ 1977: Went Public
â€¢ 2006: Bought by Apollo Investments
â€¢ 2013: Offices and Listings in over 70 countries
Century 21 Real Estate Corporation franchises real estate offices. It has more than 8500 independently owned and operated offices, with locations in all 50 states and more than 70 countries. The firm's Web site, Century21.com, is the fifth most visited real estate Web site on the Internet.
Tom Dugally worked as an agent for Century 21 for several years before he received his broker's license. A few years later, he contacted Century 21 and they helped him set up his own real estate office under a Century 21 franchise. He uses percents on a daily basis to find real estate commissions, monitor costs, follow interest rates, estimate property taxes, and keep up with home prices.
A home owner has a large home overlooking a river that is currently valued at $435,000. If his home price has increased by the amount indicated in (1), find the amount by which it increased in value compared to one year ago. Round all dollar values to the nearest dollar. ________________

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Q08 Q08 Q08

CENTURY 21
www.century21.com
Facts:
â€¢ 1971: Founded in California
â€¢ 1977: Went Public
â€¢ 2006: Bought by Apollo Investments
â€¢ 2013: Offices and Listings in over 70 countries
Century 21 Real Estate Corporation franchises real estate offices. It has more than 8500 independently owned and operated offices, with locations in all 50 states and more than 70 countries. The firm's Web site, Century21.com, is the fifth most visited real estate Web site on the Internet.
Tom Dugally worked as an agent for Century 21 for several years before he received his broker's license. A few years later, he contacted Century 21 and they helped him set up his own real estate office under a Century 21 franchise. He uses percents on a daily basis to find real estate commissions, monitor costs, follow interest rates, estimate property taxes, and keep up with home prices.
The total real estate commissions paid to Dugally's real estate agency for the quarter were $237,075. If 65% of those funds are paid directly to the self-employed real estate agents that work in the office under Dugally, find the amount the real estate office keeps. He uses these funds to pay for office, computer, advertising expenses, unilities, etc. ________________

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Q19 Q19 Q19

Solve the following problems.
An underwriter at an insurance company rejected 32 applications for car insurance in one month due to the poor driving record of the applicants. If this was 2.3% of the total number of applications, find the total number of applications. ________________

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Q20 Q20 Q20

Solve the following problems.
The Honda Civic GX runs on natural gas so that it uses no gasoline. It gets 38 miles per gallon on the highway and has one of the cleanest engines available. Although it is listed at one dealer at $28,350, it is offered at a discount of 6.3% based partly on a rebate from the state. Find the sale price. ________________

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Q22 Q22 Q22

Solve the following problems.
A retail store with a monthly advertising budget of $3400 decides to set up a media budget. It plans to spend 22% for television advertising, 38% for newspaper advertising, 14% for outdoor signs, 15, for radio advertising, and the remainder for bumper stickers.
(a) What percent of the total budget do they plan to spend on bumper stickers? ________________
(b) How much do they plan to spend on bumper stickers for the entire year? [3.2] ________________

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Q23 Q23 Q23

Solve the following problems.
Americans lose about 300 million golf balls each year, and about 225 million of these are recovered and resold in what has become a $200-million annual business. What percent of the lost golf balls are recovered and resold? [ 3.4 ] ________________

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Q26 Q26 Q26

Solve the following problems.
The local real estate board reports that the number of condominium listings last month was 379. If 357 condominiums were listed in the same month last year, find the percent of increase. Round to the nearest tenth of a percent. [ 3.4 ] ________________

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Q27 Q27 Q27

Solve the following problems.
Proctor Gamble, the maker of Tide detergent, Pampers diapers, and Clairol hair-care products, had quarterly earnings that rose 20% to $1.76 billion. Find the earnings in the previous quarter. Round to the nearest hundredth of a billion. [ 3.4 ] ________________

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Q28 Q28 Q28

Write the following decimals as percent. (See Examples.)
Changing Decimals to Percents
Change the following decimals to percents.
(a).35
(b).42
(c) 2.75
SOLUTION
Move the decimal point two places to the right and attach a percent sign.
(a) 35%
(b) 42%
(c) 275%
Writing Decimals as Percents
Write the following decimals as percents.
(a).8
(b) 2.6
(c).1
(d) 4
SOLUTION
It is necessary to attach zeros here.
(a)
(b)
(c)
(d)
Writing Decimals as Percents
Write these decimals as percents.
(a).625
(b).0057
(c) 1.25
SOLUTION
(a) 62.5%
(b).57%
(c) 125%
.72 = _______

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Q29 Q29 Q29

Write the following decimals as percent. (See Examples.)
Changing Decimals to Percents
Change the following decimals to percents.
(a).35
(b).42
(c) 2.75
SOLUTION
Move the decimal point two places to the right and attach a percent sign.
(a) 35%
(b) 42%
(c) 275%
Writing Decimals as Percents
Write the following decimals as percents.
(a).8
(b) 2.6
(c).1
(d) 4
SOLUTION
It is necessary to attach zeros here.
(a)
(b)
(c)
(d)
Writing Decimals as Percents
Write these decimals as percents.
(a).625
(b).0057
(c) 1.25
SOLUTION
(a) 62.5%
(b).57%
(c) 125%
1.3 = _______

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Q30 Q30 Q30

Write the following decimals as percent. (See Examples.)
Changing Decimals to Percents
Change the following decimals to percents.
(a).35
(b).42
(c) 2.75
SOLUTION
Move the decimal point two places to the right and attach a percent sign.
(a) 35%
(b) 42%
(c) 275%
Writing Decimals as Percents
Write the following decimals as percents.
(a).8
(b) 2.6
(c).1
(d) 4
SOLUTION
It is necessary to attach zeros here.
(a)
(b)
(c)
(d)
Writing Decimals as Percents
Write these decimals as percents.
(a).625
(b).0057
(c) 1.25
SOLUTION
(a) 62.5%
(b).57%
(c) 125%
2.034 = _______

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Q31 Q31 Q31

Write the following decimals as percent. (See Examples.)
Changing Decimals to Percents
Change the following decimals to percents.
(a).35
(b).42
(c) 2.75
SOLUTION
Move the decimal point two places to the right and attach a percent sign.
(a) 35%
(b) 42%
(c) 275%
Writing Decimals as Percents
Write the following decimals as percents.
(a).8
(b) 2.6
(c).1
(d) 4
SOLUTION
It is necessary to attach zeros here.
(a)
(b)
(c)
(d)
Writing Decimals as Percents
Write these decimals as percents.
(a).625
(b).0057
(c) 1.25
SOLUTION
(a) 62.5%
(b).57%
(c) 125%
.625 = ________

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Q32 Q32 Q32

Write the following decimals as percent. (See Examples.)
Changing Decimals to Percents
Change the following decimals to percents.
(a).35
(b).42
(c) 2.75
SOLUTION
Move the decimal point two places to the right and attach a percent sign.
(a) 35%
(b) 42%
(c) 275%
Writing Decimals as Percents
Write the following decimals as percents.
(a).8
(b) 2.6
(c).1
(d) 4
SOLUTION
It is necessary to attach zeros here.
(a)
(b)
(c)
(d)
Writing Decimals as Percents
Write these decimals as percents.
(a).625
(b).0057
(c) 1.25
SOLUTION
(a) 62.5%
(b).57%
(c) 125%
3.625 = ________

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Q33 Q33 Q33

Write the following decimals as percent. (See Examples.)
Changing Decimals to Percents
Change the following decimals to percents.
(a).35
(b).42
(c) 2.75
SOLUTION
Move the decimal point two places to the right and attach a percent sign.
(a) 35%
(b) 42%
(c) 275%
Writing Decimals as Percents
Write the following decimals as percents.
(a).8
(b) 2.6
(c).1
(d) 4
SOLUTION
It is necessary to attach zeros here.
(a)
(b)
(c)
(d)
Writing Decimals as Percents
Write these decimals as percents.
(a).625
(b).0057
(c) 1.25
SOLUTION
(a) 62.5%
(b).57%
(c) 125%
4.6 = ________

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Q34 Q34 Q34

Write the following decimals as percent. (See Examples.)
Changing Decimals to Percents
Change the following decimals to percents.
(a).35
(b).42
(c) 2.75
SOLUTION
Move the decimal point two places to the right and attach a percent sign.
(a) 35%
(b) 42%
(c) 275%
Writing Decimals as Percents
Write the following decimals as percents.
(a).8
(b) 2.6
(c).1
(d) 4
SOLUTION
It is necessary to attach zeros here.
(a)
(b)
(c)
(d)
Writing Decimals as Percents
Write these decimals as percents.
(a).625
(b).0057
(c) 1.25
SOLUTION
(a) 62.5%
(b).57%
(c) 125%
.875 = ________

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Q35 Q35 Q35

Write the following decimals as percent. (See Examples.)
Changing Decimals to Percents
Change the following decimals to percents.
(a).35
(b).42
(c) 2.75
SOLUTION
Move the decimal point two places to the right and attach a percent sign.
(a) 35%
(b) 42%
(c) 275%
Writing Decimals as Percents
Write the following decimals as percents.
(a).8
(b) 2.6
(c).1
(d) 4
SOLUTION
It is necessary to attach zeros here.
(a)
(b)
(c)
(d)
Writing Decimals as Percents
Write these decimals as percents.
(a).625
(b).0057
(c) 1.25
SOLUTION
(a) 62.5%
(b).57%
(c) 125%
.005 = ________

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Q36 Q36 Q36

Write the following decimals as percent. (See Examples.)
Changing Decimals to Percents
Change the following decimals to percents.
(a).35
(b).42
(c) 2.75
SOLUTION
Move the decimal point two places to the right and attach a percent sign.
(a) 35%
(b) 42%
(c) 275%
Writing Decimals as Percents
Write the following decimals as percents.
(a).8
(b) 2.6
(c).1
(d) 4
SOLUTION
It is necessary to attach zeros here.
(a)
(b)
(c)
(d)
Writing Decimals as Percents
Write these decimals as percents.
(a).625
(b).0057
(c) 1.25
SOLUTION
(a) 62.5%
(b).57%
(c) 125%
.0005 = ________

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Q37 Q37 Q37

Write the following decimals as percent. (See Examples.)
Changing Decimals to Percents
Change the following decimals to percents.
(a).35
(b).42
(c) 2.75
SOLUTION
Move the decimal point two places to the right and attach a percent sign.
(a) 35%
(b) 42%
(c) 275%
Writing Decimals as Percents
Write the following decimals as percents.
(a).8
(b) 2.6
(c).1
(d) 4
SOLUTION
It is necessary to attach zeros here.
(a)
(b)
(c)
(d)
Writing Decimals as Percents
Write these decimals as percents.
(a).625
(b).0057
(c) 1.25
SOLUTION
(a) 62.5%
(b).57%
(c) 125%
.0012 = ________

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Q38 Q38 Q38

Write the following decimals as percent. (See Examples.)
Changing Decimals to Percents
Change the following decimals to percents.
(a).35
(b).42
(c) 2.75
SOLUTION
Move the decimal point two places to the right and attach a percent sign.
(a) 35%
(b) 42%
(c) 275%
Writing Decimals as Percents
Write the following decimals as percents.
(a).8
(b) 2.6
(c).1
(d) 4
SOLUTION
It is necessary to attach zeros here.
(a)
(b)
(c)
(d)
Writing Decimals as Percents
Write these decimals as percents.
(a).625
(b).0057
(c) 1.25
SOLUTION
(a) 62.5%
(b).57%
(c) 125%
3.45 = ________

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Q39 Q39 Q39

Write the following decimals as percent. (See Examples.)
Changing Decimals to Percents
Change the following decimals to percents.
(a).35
(b).42
(c) 2.75
SOLUTION
Move the decimal point two places to the right and attach a percent sign.
(a) 35%
(b) 42%
(c) 275%
Writing Decimals as Percents
Write the following decimals as percents.
(a).8
(b) 2.6
(c).1
(d) 4
SOLUTION
It is necessary to attach zeros here.
(a)
(b)
(c)
(d)
Writing Decimals as Percents
Write these decimals as percents.
(a).625
(b).0057
(c) 1.25
SOLUTION
(a) 62.5%
(b).57%
(c) 125%
.2108 = ________

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Q40 Q40 Q40

Write the following decimals as percent. (See Examples.)
Changing Decimals to Percents
Change the following decimals to percents.
(a).35
(b).42
(c) 2.75
SOLUTION
Move the decimal point two places to the right and attach a percent sign.
(a) 35%
(b) 42%
(c) 275%
Writing Decimals as Percents
Write the following decimals as percents.
(a).8
(b) 2.6
(c).1
(d) 4
SOLUTION
It is necessary to attach zeros here.
(a)
(b)
(c)
(d)
Writing Decimals as Percents
Write these decimals as percents.
(a).625
(b).0057
(c) 1.25
SOLUTION
(a) 62.5%
(b).57%
(c) 125%
.0308 = ________

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Q41 Q41 Q41

Write the following as decimals. (See Examples.)
Writing Fractions as Percents
A marketing manager is given the following data in fraction form and must change the data to percents.
(a)
(b)
(c)
SOLUTION
First write each fraction as a decimal, and then write the decimal as a percent.
(a)
(b)
(c)
Writing Percents as Decimals
To calculate some insurance claims, an insurance agent must change the following percents to decimals.
(a) 35%
(b) 50%
(c) 325%
(d)
Quick.TIP
Change any fraction part of a percent to a decimal before converting from a percent to a decimal.
SOLUTION
Move the decimal point two places to the left and drop the percent sign.
(a).35
(b).5
(c) 3.25
(d).375
Writing Percents as Fractions
Even though smoking is believed to account for 1 of every 5 deaths in the United States, more than 45 million Americans smoke. The bar chart shows the percent of people in each age group that smoke. Convert each percent to a fraction and reduce to lowest terms.
SOLUTION
Write each percent as a decimal and then as a fraction in lowest terms.
(a)
(b)
(c)
(d)
64, = ________

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Q42 Q42 Q42

Write the following as decimals. (See Examples.)
Writing Fractions as Percents
A marketing manager is given the following data in fraction form and must change the data to percents.
(a)
(b)
(c)
SOLUTION
First write each fraction as a decimal, and then write the decimal as a percent.
(a)
(b)
(c)
Writing Percents as Decimals
To calculate some insurance claims, an insurance agent must change the following percents to decimals.
(a) 35%
(b) 50%
(c) 325%
(d)
Quick.TIP
Change any fraction part of a percent to a decimal before converting from a percent to a decimal.
SOLUTION
Move the decimal point two places to the left and drop the percent sign.
(a).35
(b).5
(c) 3.25
(d).375
Writing Percents as Fractions
Even though smoking is believed to account for 1 of every 5 deaths in the United States, more than 45 million Americans smoke. The bar chart shows the percent of people in each age group that smoke. Convert each percent to a fraction and reduce to lowest terms.
SOLUTION
Write each percent as a decimal and then as a fraction in lowest terms.
(a)
(b)
(c)
(d)
65, = ________

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Q43 Q43 Q43

Write the following as decimals. (See Examples.)
Writing Fractions as Percents
A marketing manager is given the following data in fraction form and must change the data to percents.
(a)
(b)
(c)
SOLUTION
First write each fraction as a decimal, and then write the decimal as a percent.
(a)
(b)
(c)
Writing Percents as Decimals
To calculate some insurance claims, an insurance agent must change the following percents to decimals.
(a) 35%
(b) 50%
(c) 325%
(d)
Quick.TIP
Change any fraction part of a percent to a decimal before converting from a percent to a decimal.
SOLUTION
Move the decimal point two places to the left and drop the percent sign.
(a).35
(b).5
(c) 3.25
(d).375
Writing Percents as Fractions
Even though smoking is believed to account for 1 of every 5 deaths in the United States, more than 45 million Americans smoke. The bar chart shows the percent of people in each age group that smoke. Convert each percent to a fraction and reduce to lowest terms.
SOLUTION
Write each percent as a decimal and then as a fraction in lowest terms.
(a)
(b)
(c)
(d)

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Q44 Q44 Q44

Write the following as decimals. (See Examples.)
Writing Fractions as Percents
A marketing manager is given the following data in fraction form and must change the data to percents.
(a)
(b)
(c)
SOLUTION
First write each fraction as a decimal, and then write the decimal as a percent.
(a)
(b)
(c)
Writing Percents as Decimals
To calculate some insurance claims, an insurance agent must change the following percents to decimals.
(a) 35%
(b) 50%
(c) 325%
(d)
Quick.TIP
Change any fraction part of a percent to a decimal before converting from a percent to a decimal.
SOLUTION
Move the decimal point two places to the left and drop the percent sign.
(a).35
(b).5
(c) 3.25
(d).375
Writing Percents as Fractions
Even though smoking is believed to account for 1 of every 5 deaths in the United States, more than 45 million Americans smoke. The bar chart shows the percent of people in each age group that smoke. Convert each percent to a fraction and reduce to lowest terms.
SOLUTION
Write each percent as a decimal and then as a fraction in lowest terms.
(a)
(b)
(c)
(d)

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Q45 Q45 Q45

Write the following as decimals. (See Examples.)
Writing Fractions as Percents
A marketing manager is given the following data in fraction form and must change the data to percents.
(a)
(b)
(c)
SOLUTION
First write each fraction as a decimal, and then write the decimal as a percent.
(a)
(b)
(c)
Writing Percents as Decimals
To calculate some insurance claims, an insurance agent must change the following percents to decimals.
(a) 35%
(b) 50%
(c) 325%
(d)
Quick.TIP
Change any fraction part of a percent to a decimal before converting from a percent to a decimal.
SOLUTION
Move the decimal point two places to the left and drop the percent sign.
(a).35
(b).5
(c) 3.25
(d).375
Writing Percents as Fractions
Even though smoking is believed to account for 1 of every 5 deaths in the United States, more than 45 million Americans smoke. The bar chart shows the percent of people in each age group that smoke. Convert each percent to a fraction and reduce to lowest terms.
SOLUTION
Write each percent as a decimal and then as a fraction in lowest terms.
(a)
(b)
(c)
(d)

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Q46 Q46 Q46 Write the following as decimals. (See Examples.)
Writing Fractions as Percents
A marketing manager is given the following data in fraction form and must change the data to percents.
(a)
(b)
(c)
SOLUTION
First write each fraction as a decimal, and then write the decimal as a percent.
(a)
(b)
(c)
Writing Percents as Decimals
To calculate some insurance claims, an insurance agent must change the following percents to decimals.
(a) 35%
(b) 50%
(c) 325%
(d)
Quick.TIP
Change any fraction part of a percent to a decimal before converting from a percent to a decimal.
SOLUTION
Move the decimal point two places to the left and drop the percent sign.
(a).35
(b).5
(c) 3.25
(d).375
Writing Percents as Fractions
Even though smoking is believed to account for 1 of every 5 deaths in the United States, more than 45 million Americans smoke. The bar chart shows the percent of people in each age group that smoke. Convert each percent to a fraction and reduce to lowest terms.
SOLUTION
Write each percent as a decimal and then as a fraction in lowest terms.
(a)
(b)
(c)
(d)

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Q47 Q47 Q47

Write the following as decimals. (See.)
Writing Fractions as Percents
A marketing manager is given the following data in fraction form and must change the data to percents.
(a)
(b)
(c)
SOLUTION
First write each fraction as a decimal, and then write the decimal as a percent.
(a)
(b)
(c)
Writing Percents as Decimals
To calculate some insurance claims, an insurance agent must change the following percents to decimals.
(a) 35%
(b) 50%
(c) 325%
(d)
Quick.TIP
Change any fraction part of a percent to a decimal before converting from a percent to a decimal.
SOLUTION
Move the decimal point two places to the left and drop the percent sign.
(a).35
(b).5
(c) 3.25
(d).375
Writing Percents as Fractions
Even though smoking is believed to account for 1 of every 5 deaths in the United States, more than 45 million Americans smoke. The bar chart shows the percent of people in each age group that smoke. Convert each percent to a fraction and reduce to lowest terms.
SOLUTION
Write each percent as a decimal and then as a fraction in lowest terms.
(a)
(b)
(c)
(d)

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Q48 Q48 Q48 Write the following as decimals. (See Examples.)
Writing Fractions as Percents
A marketing manager is given the following data in fraction form and must change the data to percents.
(a)
(b)
(c)
SOLUTION
First write each fraction as a decimal, and then write the decimal as a percent.
(a)
(b)
(c)
Writing Percents as Decimals
To calculate some insurance claims, an insurance agent must change the following percents to decimals.
(a) 35%
(b) 50%
(c) 325%
(d)
Quick.TIP
Change any fraction part of a percent to a decimal before converting from a percent to a decimal.
SOLUTION
Move the decimal point two places to the left and drop the percent sign.
(a).35
(b).5
(c) 3.25
(d).375
Writing Percents as Fractions
Even though smoking is believed to account for 1 of every 5 deaths in the United States, more than 45 million Americans smoke. The bar chart shows the percent of people in each age group that smoke. Convert each percent to a fraction and reduce to lowest terms.
SOLUTION
Write each percent as a decimal and then as a fraction in lowest terms.
(a)
(b)
(c)
(d)

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Q49 Q49 Q49 Write the following as decimals. (See Examples.)
Writing Fractions as Percents
A marketing manager is given the following data in fraction form and must change the data to percents.
(a)
(b)
(c)
SOLUTION
First write each fraction as a decimal, and then write the decimal as a percent.
(a)
(b)
(c)
Writing Percents as Decimals
To calculate some insurance claims, an insurance agent must change the following percents to decimals.
(a) 35%
(b) 50%
(c) 325%
(d)
Quick.TIP
Change any fraction part of a percent to a decimal before converting from a percent to a decimal.
SOLUTION
Move the decimal point two places to the left and drop the percent sign.
(a).35
(b).5
(c) 3.25
(d).375
Writing Percents as Fractions
Even though smoking is believed to account for 1 of every 5 deaths in the United States, more than 45 million Americans smoke. The bar chart shows the percent of people in each age group that smoke. Convert each percent to a fraction and reduce to lowest terms.
SOLUTION
Write each percent as a decimal and then as a fraction in lowest terms.
(a)
(b)
(c)
(d)

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Q50 Q50 Q50 Write the following as decimals. (See Examples.)
Writing Fractions as Percents
A marketing manager is given the following data in fraction form and must change the data to percents.
(a)
(b)
(c)
SOLUTION
First write each fraction as a decimal, and then write the decimal as a percent.
(a)
(b)
(c)
Writing Percents as Decimals
To calculate some insurance claims, an insurance agent must change the following percents to decimals.
(a) 35%
(b) 50%
(c) 325%
(d)
Quick.TIP
Change any fraction part of a percent to a decimal before converting from a percent to a decimal.
SOLUTION
Move the decimal point two places to the left and drop the percent sign.
(a).35
(b).5
(c) 3.25
(d).375
Writing Percents as Fractions
Even though smoking is believed to account for 1 of every 5 deaths in the United States, more than 45 million Americans smoke. The bar chart shows the percent of people in each age group that smoke. Convert each percent to a fraction and reduce to lowest terms.
SOLUTION
Write each percent as a decimal and then as a fraction in lowest terms.
(a)
(b)
(c)
(d)

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Q51 Q51 Q51 Write the following as decimals. (See Examples.)
Writing Fractions as Percents
A marketing manager is given the following data in fraction form and must change the data to percents.
(a)
(b)
(c)
SOLUTION
First write each fraction as a decimal, and then write the decimal as a percent.
(a)
(b)
(c)
Writing Percents as Decimals
To calculate some insurance claims, an insurance agent must change the following percents to decimals.
(a) 35%
(b) 50%
(c) 325%
(d)
Quick.TIP
Change any fraction part of a percent to a decimal before converting from a percent to a decimal.
SOLUTION
Move the decimal point two places to the left and drop the percent sign.
(a).35
(b).5
(c) 3.25
(d).375
Writing Percents as Fractions
Even though smoking is believed to account for 1 of every 5 deaths in the United States, more than 45 million Americans smoke. The bar chart shows the percent of people in each age group that smoke. Convert each percent to a fraction and reduce to lowest terms.
SOLUTION
Write each percent as a decimal and then as a fraction in lowest terms.
(a)
(b)
(c)
(d)

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Q52 Q52 Q52 Write the following as decimals. (See Examples.)
Writing Fractions as Percents
A marketing manager is given the following data in fraction form and must change the data to percents.
(a)
(b)
(c)
SOLUTION
First write each fraction as a decimal, and then write the decimal as a percent.
(a)
(b)
(c)
Writing Percents as Decimals
To calculate some insurance claims, an insurance agent must change the following percents to decimals.
(a) 35%
(b) 50%
(c) 325%
(d)
Quick.TIP
Change any fraction part of a percent to a decimal before converting from a percent to a decimal.
SOLUTION
Move the decimal point two places to the left and drop the percent sign.
(a).35
(b).5
(c) 3.25
(d).375
Writing Percents as Fractions
Even though smoking is believed to account for 1 of every 5 deaths in the United States, more than 45 million Americans smoke. The bar chart shows the percent of people in each age group that smoke. Convert each percent to a fraction and reduce to lowest terms.
SOLUTION
Write each percent as a decimal and then as a fraction in lowest terms.
(a)
(b)
(c)
(d)

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Q53 Q53 Q53 Write the following as decimals. (See Examples.)
Writing Fractions as Percents
A marketing manager is given the following data in fraction form and must change the data to percents.
(a)
(b)
(c)
SOLUTION
First write each fraction as a decimal, and then write the decimal as a percent.
(a)
(b)
(c)
Writing Percents as Decimals
To calculate some insurance claims, an insurance agent must change the following percents to decimals.
(a) 35%
(b) 50%
(c) 325%
(d)
Quick.TIP
Change any fraction part of a percent to a decimal before converting from a percent to a decimal.
SOLUTION
Move the decimal point two places to the left and drop the percent sign.
(a).35
(b).5
(c) 3.25
(d).375
Writing Percents as Fractions
Even though smoking is believed to account for 1 of every 5 deaths in the United States, more than 45 million Americans smoke. The bar chart shows the percent of people in each age group that smoke. Convert each percent to a fraction and reduce to lowest terms.
SOLUTION
Write each percent as a decimal and then as a fraction in lowest terms.
(a)
(b)
(c)
(d)

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Q78 Q78 Q78

Determine the fraction, decimal, or percent equivalents for each of the following, as necessary. Write fractions in lowest terms and convert to a mixed number if appropriate.
Fractions, decimals, and percents are all used to describe a part of something. The use of percents is much more common than fractions and decimals. Why do you suppose this is true?

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Q79 Q79 Q79

Determine the fraction, decimal, or percent equivalents for each of the following, as necessary. Write fractions in lowest terms and convert to a mixed number if appropriate.
List five uses of percent that are or will be part of your life. Consider the activities of working, shopping, saving, and planning for the future.

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Q80 Q80 Q80

Determine the fraction, decimal, or percent equivalents for each of the following, as necessary. Write fractions in lowest terms and convert to a mixed number if appropriate.
Select a decimal percent and write it as a fraction. Select a fraction and write it as a percent. Write an explanation of each step of your work.
OBJECTIVE 2 Write a fraction as a percent. Write the fraction as a decimal by dividing the numerator by the denominator. Then, write the decimal number as a percent by moving the decimal point two places to the right and attaching a percent sign.
OBJECTIVE 3 Write a percent as a decimal. Since percent means parts out of 100, change a percent to a decimal by dividing by 100.

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Q81 Q81 Q81

Determine the fraction, decimal, or percent equivalents for each of the following, as necessary. Write fractions in lowest terms and convert to a mixed number if appropriate.
The fractional percent is equal to.005. Explain each step as you change to its decimal equivalent. (See Objective.)
OBJECTIVE Write a percent as a fraction. To write a percent as a fraction, first change the percent to a decimal, then write the decimal as a fraction in lowest terms.

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Q85 Q85 Q85

Solve for part in each of the following. Round to the nearest hundredth. (See Example.)
Solving for Part
Solve for part, using P = R Ã— B.
(a) 4% of 50
(b) 1.2% of 180
(c) 140% of 225
(d) % of 560
( Hint: =.25%)
SOLUTION
(a)
(b)
(c)
(d)
125% of 2000 products = ________

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Q88 Q88 Q88

Solve for part in each of the following. Round to the nearest hundredth. (See Example.)
Solving for Part
Solve for part, using P = R Ã— B.
(a) 4% of 50
(b) 1.2% of 180
(c) 140% of 225
(d) % of 560
( Hint: =.25%)
SOLUTION
(a)
(b)
(c)
(d)
17.5% of 1040 cell phones = ________

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Q91 Q91 Q91

Solve for part in each of the following. Round to the nearest hundredth. (See Example.)
Solving for Part
Solve for part, using P = R Ã— B.
(a) 4% of 50
(b) 1.2% of 180
(c) 140% of 225
(d) % of 560
( Hint: =.25%)
SOLUTION
(a)
(b)
(c)
(d)
110% of 150 apartments = ________

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Q94 Q94 Q94

Solve for part in each of the following. Round to the nearest hundredth. (See Example.)
Solving for Part
Solve for part, using P = R Ã— B.
(a) 4% of 50
(b) 1.2% of 180
(c) 140% of 225
(d) % of 560
( Hint: =.25%)
SOLUTION
(a)
(b)
(c)
(d)
Identify the three components in a percent problem. In your own words, describe how to identify each of these components. (See Objective.)
OBJECTIVE Know the three components of a percent problem. Problems in percent contain three main components. Usually, two of these components are given, and the third component must be found.

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Q95 Q95 Q95

Solve for part in each of the following. Round to the nearest hundredth. (See Example.)
Solving for Part
Solve for part, using P = R Ã— B.
(a) 4% of 50
(b) 1.2% of 180
(c) 140% of 225
(d) % of 560
( Hint: =.25%)
SOLUTION
(a)
(b)
(c)
(d)
There are words and phrases that are usually associated with base and part. Give three examples of words that usually identify the base and the accompanying word for the part. (See Objective.)
OBJECTIVE Recognize the terms associated with base, rate, and part. Percent problems have certain similarities. For example, some phrases are associated with the base in the problem. Other phrases lead to the part, while % or percent following a number identifies the rate. The following chart helps distinguish between the base and the part.

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Q96 Q96 Q96

Solve the following application problem. Round to the nearest cent unless otherwise indicated. (See Examples.)
The bar graph shows the unemployment rate by category in the midst of a serious recession. Use the data provided to estimate the number of unemployed teenagers out of a total of roughly 32,000 working-age teenagers in one city.
SOLUTION
The base is 32,000. The rate for unemployed teenagers is 24,. The number of unemployed teenagers is part of the whole, so part ( P ) is the unknown.
About 7680 of the 32,000 working-age teenagers in the city are unemployed. The calculator solution to this example is
Note: Refer to Appendix B for calculator basics.
Calculating Sales Tax
Becky Smith finally saved enough to buy the guitar she had dreamed about. Her goal was to start a band with her two sisters as backup and a friend as a drummer. The list price on the guitar was $1199.99 and the sales tax was 8.5,. Find the sales tax and total cost.
SOLUTION
The whole ( B ) is $1199.99, and the rate ( R ) is 8.5,.
Now, add the sales tax cost to the cost of the guitar to find the total.
Total = $1199.99 + $102 = $1301.99
CORPORATE PROFITS A survey of 30 large retailers showed that expenses averaged 92.4% of total sales. Estimate the expenses for a firm with $138 million in quarterly sales to the nearest tenth of a million dollars. ________________

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Q97 Q97 Q97

Solve the following application problem. Round to the nearest cent unless otherwise indicated. (See Examples.)
The bar graph shows the unemployment rate by category in the midst of a serious recession. Use the data provided to estimate the number of unemployed teenagers out of a total of roughly 32,000 working-age teenagers in one city.
SOLUTION
The base is 32,000. The rate for unemployed teenagers is 24,. The number of unemployed teenagers is part of the whole, so part ( P ) is the unknown.
About 7680 of the 32,000 working-age teenagers in the city are unemployed. The calculator solution to this example is
Note: Refer to Appendix B for calculator basics.
Calculating Sales Tax
Becky Smith finally saved enough to buy the guitar she had dreamed about. Her goal was to start a band with her two sisters as backup and a friend as a drummer. The list price on the guitar was $1199.99 and the sales tax was 8.5,. Find the sales tax and total cost.
SOLUTION
The whole ( B ) is $1199.99, and the rate ( R ) is 8.5,.
Now, add the sales tax cost to the cost of the guitar to find the total.
Total = $1199.99 + $102 = $1301.99
SALES TAX A real estate broker wants to purchase a new Personal Digital Assistant priced at $399. If the sales tax rate is 7.75%, find the total price including the sales tax. ________________

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Q98 Q98 Q98

Solve the following application problem. Round to the nearest cent unless otherwise indicated. (See Examples.)
The bar graph shows the unemployment rate by category in the midst of a serious recession. Use the data provided to estimate the number of unemployed teenagers out of a total of roughly 32,000 working-age teenagers in one city.
SOLUTION
The base is 32,000. The rate for unemployed teenagers is 24,. The number of unemployed teenagers is part of the whole, so part ( P ) is the unknown.
About 7680 of the 32,000 working-age teenagers in the city are unemployed. The calculator solution to this example is
Note: Refer to Appendix B for calculator basics.
Calculating Sales Tax
Becky Smith finally saved enough to buy the guitar she had dreamed about. Her goal was to start a band with her two sisters as backup and a friend as a drummer. The list price on the guitar was $1199.99 and the sales tax was 8.5,. Find the sales tax and total cost.
SOLUTION
The whole ( B ) is $1199.99, and the rate ( R ) is 8.5,.
Now, add the sales tax cost to the cost of the guitar to find the total.
Total = $1199.99 + $102 = $1301.99
Thomas Dugally of Century 21 Real Estate is working with a mortgage company that charges borrowers $350 plus 2% of the loan amount. What is the total charge to get a home loan of $190,000? ________________

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Q99 Q99 Q99

Solve the following application problem. Round to the nearest cent unless otherwise indicated. (See Examples.)
The bar graph shows the unemployment rate by category in the midst of a serious recession. Use the data provided to estimate the number of unemployed teenagers out of a total of roughly 32,000 working-age teenagers in one city.
SOLUTION
The base is 32,000. The rate for unemployed teenagers is 24,. The number of unemployed teenagers is part of the whole, so part ( P ) is the unknown.
About 7680 of the 32,000 working-age teenagers in the city are unemployed. The calculator solution to this example is
Note: Refer to Appendix B for calculator basics.
Calculating Sales Tax
Becky Smith finally saved enough to buy the guitar she had dreamed about. Her goal was to start a band with her two sisters as backup and a friend as a drummer. The list price on the guitar was $1199.99 and the sales tax was 8.5,. Find the sales tax and total cost.
SOLUTION
The whole ( B ) is $1199.99, and the rate ( R ) is 8.5,.
Now, add the sales tax cost to the cost of the guitar to find the total.
Total = $1199.99 + $102 = $1301.99
WOMEN IN THE NAVY The navy guided-missile destroyer USS Sullivans has a 335-person crew of which 13, are female. Find the number of female crew members. Round to the nearest whole number. ________________

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Q100 Q100 Q100

Solve the following application problem. Round to the nearest cent unless otherwise indicated. (See Examples.)
The bar graph shows the unemployment rate by category in the midst of a serious recession. Use the data provided to estimate the number of unemployed teenagers out of a total of roughly 32,000 working-age teenagers in one city.
SOLUTION
The base is 32,000. The rate for unemployed teenagers is 24,. The number of unemployed teenagers is part of the whole, so part ( P ) is the unknown.
About 7680 of the 32,000 working-age teenagers in the city are unemployed. The calculator solution to this example is
Note: Refer to Appendix B for calculator basics.
Calculating Sales Tax
Becky Smith finally saved enough to buy the guitar she had dreamed about. Her goal was to start a band with her two sisters as backup and a friend as a drummer. The list price on the guitar was $1199.99 and the sales tax was 8.5,. Find the sales tax and total cost.
SOLUTION
The whole ( B ) is $1199.99, and the rate ( R ) is 8.5,.
Now, add the sales tax cost to the cost of the guitar to find the total.
Total = $1199.99 + $102 = $1301.99
NY YANKEES The average price of a ticket for the better box seats at Yankee Stadium was $90 in 2005. Estimate the average cost today if it has increased by 250%. ________________

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Q101 Q101 Q101

Solve the following application problem. Round to the nearest cent unless otherwise indicated. (See Examples.)
The bar graph shows the unemployment rate by category in the midst of a serious recession. Use the data provided to estimate the number of unemployed teenagers out of a total of roughly 32,000 working-age teenagers in one city.
SOLUTION
The base is 32,000. The rate for unemployed teenagers is 24,. The number of unemployed teenagers is part of the whole, so part ( P ) is the unknown.
About 7680 of the 32,000 working-age teenagers in the city are unemployed. The calculator solution to this example is
Note: Refer to Appendix B for calculator basics.
Calculating Sales Tax
Becky Smith finally saved enough to buy the guitar she had dreamed about. Her goal was to start a band with her two sisters as backup and a friend as a drummer. The list price on the guitar was $1199.99 and the sales tax was 8.5,. Find the sales tax and total cost.
SOLUTION
The whole ( B ) is $1199.99, and the rate ( R ) is 8.5,.
Now, add the sales tax cost to the cost of the guitar to find the total.
Total = $1199.99 + $102 = $1301.99
BAR SOAP A bar of Ivory Soap is pure. If the bar of soap weighs 9 ounces, how many ounces are pure? Round to the nearest hundredth. ________________

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Q102 Q102 Q102

Solve the following application problem. Round to the nearest cent unless otherwise indicated. (See Examples.)
The bar graph shows the unemployment rate by category in the midst of a serious recession. Use the data provided to estimate the number of unemployed teenagers out of a total of roughly 32,000 working-age teenagers in one city.
SOLUTION
The base is 32,000. The rate for unemployed teenagers is 24,. The number of unemployed teenagers is part of the whole, so part ( P ) is the unknown.
About 7680 of the 32,000 working-age teenagers in the city are unemployed. The calculator solution to this example is
Note: Refer to Appendix B for calculator basics.
Calculating Sales Tax
Becky Smith finally saved enough to buy the guitar she had dreamed about. Her goal was to start a band with her two sisters as backup and a friend as a drummer. The list price on the guitar was $1199.99 and the sales tax was 8.5,. Find the sales tax and total cost.
SOLUTION
The whole ( B ) is $1199.99, and the rate ( R ) is 8.5,.
Now, add the sales tax cost to the cost of the guitar to find the total.
Total = $1199.99 + $102 = $1301.99
GASOLINE TAXES An economics class estimated that about 22% of the price of gasoline is used to pay the various taxes along the supply chain including income taxes, property taxes, and excise taxes. If the price of gasoline is $3.60 per gallon, find the amount going to pay taxes rounded to the nearest cent. ________________

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Q103 Q103 Q103

Solve the following application problem. Round to the nearest cent unless otherwise indicated. (See Examples.)
The bar graph shows the unemployment rate by category in the midst of a serious recession. Use the data provided to estimate the number of unemployed teenagers out of a total of roughly 32,000 working-age teenagers in one city.
SOLUTION
The base is 32,000. The rate for unemployed teenagers is 24,. The number of unemployed teenagers is part of the whole, so part ( P ) is the unknown.
About 7680 of the 32,000 working-age teenagers in the city are unemployed. The calculator solution to this example is
Note: Refer to Appendix B for calculator basics.
Calculating Sales Tax
Becky Smith finally saved enough to buy the guitar she had dreamed about. Her goal was to start a band with her two sisters as backup and a friend as a drummer. The list price on the guitar was $1199.99 and the sales tax was 8.5,. Find the sales tax and total cost.
SOLUTION
The whole ( B ) is $1199.99, and the rate ( R ) is 8.5,.
Now, add the sales tax cost to the cost of the guitar to find the total.
Total = $1199.99 + $102 = $1301.99
DRIVING DISTRACTIONS It is estimated that 29.5% of automobile crashes are caused by driver distractions, such as texting. If there are 16,450 automobile crashes in a study, what number would be caused by driver distractions? Round to the nearest whole number. ________________

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Q104 Q104 Q104

Solve the following application problem. Round to the nearest cent unless otherwise indicated. (See Examples.)
The bar graph shows the unemployment rate by category in the midst of a serious recession. Use the data provided to estimate the number of unemployed teenagers out of a total of roughly 32,000 working-age teenagers in one city.
SOLUTION
The base is 32,000. The rate for unemployed teenagers is 24,. The number of unemployed teenagers is part of the whole, so part ( P ) is the unknown.
About 7680 of the 32,000 working-age teenagers in the city are unemployed. The calculator solution to this example is
Note: Refer to Appendix B for calculator basics.
Calculating Sales Tax
Becky Smith finally saved enough to buy the guitar she had dreamed about. Her goal was to start a band with her two sisters as backup and a friend as a drummer. The list price on the guitar was $1199.99 and the sales tax was 8.5,. Find the sales tax and total cost.
SOLUTION
The whole ( B ) is $1199.99, and the rate ( R ) is 8.5,.
Now, add the sales tax cost to the cost of the guitar to find the total.
Total = $1199.99 + $102 = $1301.99
SMOKING AND LUNG DISEASE According to one study by Danish scientists, at least 25% of all long-term smokers get a chronic lung disease known as COPD. Out of every 1000 smokers, find the minimum number expected to get COPD.

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Q105 Q105 Q105

Solve the following application problem. Round to the nearest cent unless otherwise indicated. (See Examples.)
The bar graph shows the unemployment rate by category in the midst of a serious recession. Use the data provided to estimate the number of unemployed teenagers out of a total of roughly 32,000 working-age teenagers in one city.
SOLUTION
The base is 32,000. The rate for unemployed teenagers is 24,. The number of unemployed teenagers is part of the whole, so part ( P ) is the unknown.
About 7680 of the 32,000 working-age teenagers in the city are unemployed. The calculator solution to this example is
Note: Refer to Appendix B for calculator basics.
Calculating Sales Tax
Becky Smith finally saved enough to buy the guitar she had dreamed about. Her goal was to start a band with her two sisters as backup and a friend as a drummer. The list price on the guitar was $1199.99 and the sales tax was 8.5,. Find the sales tax and total cost.
SOLUTION
The whole ( B ) is $1199.99, and the rate ( R ) is 8.5,.
Now, add the sales tax cost to the cost of the guitar to find the total.
Total = $1199.99 + $102 = $1301.99
FEMALE LAWYERS There are 1,094,751 active lawyers living in the United States. If 71.4, of these lawyers are male, find (a) the percent of the lawyers who are female and ________________ (b) the number of lawyers who are female. Round to the nearest whole number. ________________

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Q106 Q106 Q106

Solve the following application problem. Round to the nearest cent unless otherwise indicated. (See Examples.)
The bar graph shows the unemployment rate by category in the midst of a serious recession. Use the data provided to estimate the number of unemployed teenagers out of a total of roughly 32,000 working-age teenagers in one city.
SOLUTION
The base is 32,000. The rate for unemployed teenagers is 24,. The number of unemployed teenagers is part of the whole, so part ( P ) is the unknown.
About 7680 of the 32,000 working-age teenagers in the city are unemployed. The calculator solution to this example is
Note: Refer to Appendix B for calculator basics.
Calculating Sales Tax
Becky Smith finally saved enough to buy the guitar she had dreamed about. Her goal was to start a band with her two sisters as backup and a friend as a drummer. The list price on the guitar was $1199.99 and the sales tax was 8.5,. Find the sales tax and total cost.
SOLUTION
The whole ( B ) is $1199.99, and the rate ( R ) is 8.5,.
Now, add the sales tax cost to the cost of the guitar to find the total.
Total = $1199.99 + $102 = $1301.99
OVERWEIGHT According to the World Health Organization, about 65% of the roughly 8 billion people in the world are overweight. Find (a) the percent of people who are not overweight and (b) the number who are not overweight. ________________

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Q107 Q107 Q107

Solve the following application problem. Round to the nearest cent unless otherwise indicated. (See Examples.)
The bar graph shows the unemployment rate by category in the midst of a serious recession. Use the data provided to estimate the number of unemployed teenagers out of a total of roughly 32,000 working-age teenagers in one city.
SOLUTION
The base is 32,000. The rate for unemployed teenagers is 24,. The number of unemployed teenagers is part of the whole, so part ( P ) is the unknown.
About 7680 of the 32,000 working-age teenagers in the city are unemployed. The calculator solution to this example is
Note: Refer to Appendix B for calculator basics.
Calculating Sales Tax
Becky Smith finally saved enough to buy the guitar she had dreamed about. Her goal was to start a band with her two sisters as backup and a friend as a drummer. The list price on the guitar was $1199.99 and the sales tax was 8.5,. Find the sales tax and total cost.
SOLUTION
The whole ( B ) is $1199.99, and the rate ( R ) is 8.5,.
Now, add the sales tax cost to the cost of the guitar to find the total.
Total = $1199.99 + $102 = $1301.99
DIGITAL CAMERA A Sony 12 megapixel digital camera priced at $319 is marked down 25%. Find the price of the camera after the markdown. ________________

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Q108 Q108 Q108

Solve the following application problem. Round to the nearest cent unless otherwise indicated. (See Examples.)
The bar graph shows the unemployment rate by category in the midst of a serious recession. Use the data provided to estimate the number of unemployed teenagers out of a total of roughly 32,000 working-age teenagers in one city.
SOLUTION
The base is 32,000. The rate for unemployed teenagers is 24,. The number of unemployed teenagers is part of the whole, so part ( P ) is the unknown.
About 7680 of the 32,000 working-age teenagers in the city are unemployed. The calculator solution to this example is
Note: Refer to Appendix B for calculator basics.
Calculating Sales Tax
Becky Smith finally saved enough to buy the guitar she had dreamed about. Her goal was to start a band with her two sisters as backup and a friend as a drummer. The list price on the guitar was $1199.99 and the sales tax was 8.5,. Find the sales tax and total cost.
SOLUTION
The whole ( B ) is $1199.99, and the rate ( R ) is 8.5,.
Now, add the sales tax cost to the cost of the guitar to find the total.
Total = $1199.99 + $102 = $1301.99
NURSES In a survey of 146 hospital managers, 30% said they have difficulty recruiting enough nurses willing to work the hours needed to do the job. Find the number of managers making this claim rounded to the nearest whole number. ________________

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Q109 Q109 Q109

Solve the following application problem. Round to the nearest cent unless otherwise indicated. (See Examples.)
The bar graph shows the unemployment rate by category in the midst of a serious recession. Use the data provided to estimate the number of unemployed teenagers out of a total of roughly 32,000 working-age teenagers in one city.
SOLUTION
The base is 32,000. The rate for unemployed teenagers is 24,. The number of unemployed teenagers is part of the whole, so part ( P ) is the unknown.
About 7680 of the 32,000 working-age teenagers in the city are unemployed. The calculator solution to this example is
Note: Refer to Appendix B for calculator basics.
Calculating Sales Tax
Becky Smith finally saved enough to buy the guitar she had dreamed about. Her goal was to start a band with her two sisters as backup and a friend as a drummer. The list price on the guitar was $1199.99 and the sales tax was 8.5,. Find the sales tax and total cost.
SOLUTION
The whole ( B ) is $1199.99, and the rate ( R ) is 8.5,.
Now, add the sales tax cost to the cost of the guitar to find the total.
Total = $1199.99 + $102 = $1301.99
NEW PRODUCT FAILURE Marketing Intelligence Service says that there were 15,401 new products introduced last year. If 86% of the products introduced last year failed to reach their business objectives, find the number of products that did reach their objectives. Round to the nearest whole number. ________________

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Q110 Q110 Q110

Solve the following application problem. Round to the nearest cent unless otherwise indicated. (See Examples.)
The bar graph shows the unemployment rate by category in the midst of a serious recession. Use the data provided to estimate the number of unemployed teenagers out of a total of roughly 32,000 working-age teenagers in one city.
SOLUTION
The base is 32,000. The rate for unemployed teenagers is 24,. The number of unemployed teenagers is part of the whole, so part ( P ) is the unknown.
About 7680 of the 32,000 working-age teenagers in the city are unemployed. The calculator solution to this example is
Note: Refer to Appendix B for calculator basics.
Calculating Sales Tax
Becky Smith finally saved enough to buy the guitar she had dreamed about. Her goal was to start a band with her two sisters as backup and a friend as a drummer. The list price on the guitar was $1199.99 and the sales tax was 8.5,. Find the sales tax and total cost.
SOLUTION
The whole ( B ) is $1199.99, and the rate ( R ) is 8.5,.
Now, add the sales tax cost to the cost of the guitar to find the total.
Total = $1199.99 + $102 = $1301.99
FAMILY BUDGET A family of four with a monthly income of $5150 spends 90, of its earnings and saves the balance for the down payment on a house. Find (a) the monthly savings and ________________ (b) the annual savings of this family.________________

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Q111 Q111 Q111

Solve the following application problem. Round to the nearest cent unless otherwise indicated. (See Examples.)
The bar graph shows the unemployment rate by category in the midst of a serious recession. Use the data provided to estimate the number of unemployed teenagers out of a total of roughly 32,000 working-age teenagers in one city.
SOLUTION
The base is 32,000. The rate for unemployed teenagers is 24,. The number of unemployed teenagers is part of the whole, so part ( P ) is the unknown.
About 7680 of the 32,000 working-age teenagers in the city are unemployed. The calculator solution to this example is
Note: Refer to Appendix B for calculator basics.
Calculating Sales Tax
Becky Smith finally saved enough to buy the guitar she had dreamed about. Her goal was to start a band with her two sisters as backup and a friend as a drummer. The list price on the guitar was $1199.99 and the sales tax was 8.5,. Find the sales tax and total cost.
SOLUTION
The whole ( B ) is $1199.99, and the rate ( R ) is 8.5,.
Now, add the sales tax cost to the cost of the guitar to find the total.
Total = $1199.99 + $102 = $1301.99
AUTO SALES IN CHINA General Motors' sales in China were up 21.3% compared to the 218,097 vehicles sold last year. Find this years' sales rounded to the nearest whole number.

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Q112 Q112 Q112

Solve the following application problem. Round to the nearest cent unless otherwise indicated. (See Examples.)
The bar graph shows the unemployment rate by category in the midst of a serious recession. Use the data provided to estimate the number of unemployed teenagers out of a total of roughly 32,000 working-age teenagers in one city.
SOLUTION
The base is 32,000. The rate for unemployed teenagers is 24,. The number of unemployed teenagers is part of the whole, so part ( P ) is the unknown.
About 7680 of the 32,000 working-age teenagers in the city are unemployed. The calculator solution to this example is
Note: Refer to Appendix B for calculator basics.
Calculating Sales Tax
Becky Smith finally saved enough to buy the guitar she had dreamed about. Her goal was to start a band with her two sisters as backup and a friend as a drummer. The list price on the guitar was $1199.99 and the sales tax was 8.5,. Find the sales tax and total cost.
SOLUTION
The whole ( B ) is $1199.99, and the rate ( R ) is 8.5,.
Now, add the sales tax cost to the cost of the guitar to find the total.
Total = $1199.99 + $102 = $1301.99
SUPER BOWL ADVERTISING The average cost of 30 seconds of advertising during the Super Bowl 6 years ago was $2.3 million. If the increase in cost over the last 6 years has been 17%, find the average cost of 30 seconds of advertising during the Super Bowl this year. Round to the nearest tenth of a million.

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Q113 Q113 Q113

Solve the following application problem. Round to the nearest cent unless otherwise indicated. (See Examples.)
The bar graph shows the unemployment rate by category in the midst of a serious recession. Use the data provided to estimate the number of unemployed teenagers out of a total of roughly 32,000 working-age teenagers in one city.
SOLUTION
The base is 32,000. The rate for unemployed teenagers is 24,. The number of unemployed teenagers is part of the whole, so part ( P ) is the unknown.
About 7680 of the 32,000 working-age teenagers in the city are unemployed. The calculator solution to this example is
Note: Refer to Appendix B for calculator basics.
Calculating Sales Tax
Becky Smith finally saved enough to buy the guitar she had dreamed about. Her goal was to start a band with her two sisters as backup and a friend as a drummer. The list price on the guitar was $1199.99 and the sales tax was 8.5,. Find the sales tax and total cost.
SOLUTION
The whole ( B ) is $1199.99, and the rate ( R ) is 8.5,.
Now, add the sales tax cost to the cost of the guitar to find the total.
Total = $1199.99 + $102 = $1301.99
SALES-TAX COMPUTATION As the owner of a copy and print shop, you must collect of the amount of each sale for sales tax. If sales for the month are $48,680, find the combined amount of sales and tax. ________________

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Q114 Q114 Q114

Solve the following application problem. Round to the nearest cent unless otherwise indicated. (See Examples.)
The bar graph shows the unemployment rate by category in the midst of a serious recession. Use the data provided to estimate the number of unemployed teenagers out of a total of roughly 32,000 working-age teenagers in one city.
SOLUTION
The base is 32,000. The rate for unemployed teenagers is 24,. The number of unemployed teenagers is part of the whole, so part ( P ) is the unknown.
About 7680 of the 32,000 working-age teenagers in the city are unemployed. The calculator solution to this example is
Note: Refer to Appendix B for calculator basics.
Calculating Sales Tax
Becky Smith finally saved enough to buy the guitar she had dreamed about. Her goal was to start a band with her two sisters as backup and a friend as a drummer. The list price on the guitar was $1199.99 and the sales tax was 8.5,. Find the sales tax and total cost.
SOLUTION
The whole ( B ) is $1199.99, and the rate ( R ) is 8.5,.
Now, add the sales tax cost to the cost of the guitar to find the total.
Total = $1199.99 + $102 = $1301.99
TOTAL COST A NuVac is priced at $524 with an allowed trade-in of $125 for an old unit. If sales tax of is charged on the price of the new NuVac unit, find the total cost to the customer after receiving the trade-in. ( Hint: Trade-in is subtracted last.) ________________

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Q115 Q115 Q115

Solve the following application problem. Round to the nearest cent unless otherwise indicated. (See Examples.)
The bar graph shows the unemployment rate by category in the midst of a serious recession. Use the data provided to estimate the number of unemployed teenagers out of a total of roughly 32,000 working-age teenagers in one city.
SOLUTION
The base is 32,000. The rate for unemployed teenagers is 24,. The number of unemployed teenagers is part of the whole, so part ( P ) is the unknown.
About 7680 of the 32,000 working-age teenagers in the city are unemployed. The calculator solution to this example is
Note: Refer to Appendix B for calculator basics.
Calculating Sales Tax
Becky Smith finally saved enough to buy the guitar she had dreamed about. Her goal was to start a band with her two sisters as backup and a friend as a drummer. The list price on the guitar was $1199.99 and the sales tax was 8.5,. Find the sales tax and total cost.
SOLUTION
The whole ( B ) is $1199.99, and the rate ( R ) is 8.5,.
Now, add the sales tax cost to the cost of the guitar to find the total.
Total = $1199.99 + $102 = $1301.99
REAL ESTATE COMMISSIONS Thomas Dugally of Century 21 Real Estate sold a home for $174,900. The commission was 6% of the sale price. Since Dugally both listed and sold the home, he receives 60% of the commission, and his broker receives the remainder. Find the amount received by Dugally.

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Q116 Q116 Q116

Solve the following application problem. Round to the nearest cent unless otherwise indicated. (See Examples.)
The bar graph shows the unemployment rate by category in the midst of a serious recession. Use the data provided to estimate the number of unemployed teenagers out of a total of roughly 32,000 working-age teenagers in one city.
SOLUTION
The base is 32,000. The rate for unemployed teenagers is 24,. The number of unemployed teenagers is part of the whole, so part ( P ) is the unknown.
About 7680 of the 32,000 working-age teenagers in the city are unemployed. The calculator solution to this example is
Note: Refer to Appendix B for calculator basics.
Calculating Sales Tax
Becky Smith finally saved enough to buy the guitar she had dreamed about. Her goal was to start a band with her two sisters as backup and a friend as a drummer. The list price on the guitar was $1199.99 and the sales tax was 8.5,. Find the sales tax and total cost.
SOLUTION
The whole ( B ) is $1199.99, and the rate ( R ) is 8.5,.
Now, add the sales tax cost to the cost of the guitar to find the total.
Total = $1199.99 + $102 = $1301.99
BUSINESS OWNERSHIP Jimmy Ruiz has an 82% ownership in a company called Jimmy's Cell Phones. If the company has a value of $98,400 and Ruiz receives an income of 45% of the value of his ownership, find the amount of his income.

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Q117 Q117 Q117

CONSUMER INTERNET SALES Country Store has a unique selection of merchandise that it sells by catalog and over the Internet. Use the shipping and insurance delivery chart below and a sales tax rate of 5, to solve. There is no sales tax on shipping and insurance.
Find the total cost of 6 Small Fry Handi-Pan electric skillets at a cost of $29.99 each. ________________

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Q118 Q118 Q118

CONSUMER INTERNET SALES Country Store has a unique selection of merchandise that it sells by catalog and over the Internet. Use the shipping and insurance delivery chart below and a sales tax rate of 5, to solve. There is no sales tax on shipping and insurance.
A customer ordered 5 sets of flour-sack towels at a cost of $12.99 each. What is the total cost? ________________

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Q119 Q119 Q119

CONSUMER INTERNET SALES Country Store has a unique selection of merchandise that it sells by catalog and over the Internet. Use the shipping and insurance delivery chart below and a sales tax rate of 5, to solve. There is no sales tax on shipping and insurance.
Find the total cost of 3 pop-up hampers at a cost of $9.99 each and 4 nonstick minidonut pans at $10.99 each. ________________

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Q120 Q120 Q120

CONSUMER INTERNET SALES Country Store has a unique selection of merchandise that it sells by catalog and over the Internet. Use the shipping and insurance delivery chart below and a sales tax rate of 5, to solve. There is no sales tax on shipping and insurance.
What is the total cost of 5 coach lamp bird feeders at a cost of $19.99 each and 6 garden weather centers at $14.99 each? ________________

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Q121 Q121 Q121

Solve the following application problem. Read problem carefully to determine whether base or part is being asked for.
SHAMPOO INGREDIENTS Most shampoos contain 75% to 90% water. If there are 12.5 ounces of water in a bottle of shampoo that contains 78% water, what is the size of the bottle of shampoo? Round to the nearest whole number. ________________

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Q122 Q122 Q122

Solve the following application problem. Read problem carefully to determine whether base or part is being asked for.
HOUSEHOLD LUBRICANT The lubricant WD-40 is used in 82.3 million U.S. homes, which is 79% of all homes in the United States. Find the total number of homes in the United States. Round to the nearest tenth of a million. ________________

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Q123 Q123 Q123

Solve for base in each of the following. Round to the nearest hundredth. (See Example.)
Solving for Base
Solve for base, using the formula B =
(a) 8 is 4, of _______.
(b) 135 is 15, of _______.
(c) 1.25 is 25, of _______.
SOLUTION
(a)
(b)
(c)
130 salads is 40% of ________ salads.

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Q124 Q124 Q124

Solve the following application problem. Read problem carefully to determine whether base or part is being asked for.
PROPERTY INSURANCE Thomas Dugally of Century 21 Real Estate sold a commercial building valued at $423,750. If the building is insured for 68% of its value, find the amount of insurance coverage. ________________

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Q125 Q125 Q125

Solve for base in each of the following. Round to the nearest hundredth. (See Example.)
Solving for Base
Solve for base, using the formula B =
(a) 8 is 4, of _______.
(b) 135 is 15, of _______.
(c) 1.25 is 25, of _______.
SOLUTION
(a)
(b)
(c)
32 shipments is 8% of ________ shipments.

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Q126 Q126 Q126

Solve the following application problem. Read problem carefully to determine whether base or part is being asked for.
FLU PANDEMIC OF 1918 The Spanish Flu epidemic of 1918 killed more than 50 million people worldwide. Among others, Eskimos had little resistance to this flu strain. Ninety percent of the 80 villagers of Brevig Mission, Alaska, died of the flu within five days, killing entire families. Find the number of villagers that died in five days. ________________

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Q127 Q127 Q127

Solve for base in each of the following. Round to the nearest hundredth. (See Example.)
Solving for Base
Solve for base, using the formula B =
(a) 8 is 4, of _______.
(b) 135 is 15, of _______.
(c) 1.25 is 25, of _______.
SOLUTION
(a)
(b)
(c)
110 lab tests is 5.5% of ________ lab tests.

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Q128 Q128 Q128

Solve the following application problem. Read problem carefully to determine whether base or part is being asked for.
CAMAROS AND MUSTANGS The Chevrolet Camaro was introduced in 1967. Camaro sales that year were 220,917, which was 46.2% of the number of Ford Mustangs sold in the same year. Find the number of Mustangs sold in 1967. Round to the nearest whole number. ________________

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Q130 Q130 Q130

Solve the following application problem. Read problem carefully to determine whether base or part is being asked for.
CHILD SUPPORT Sean Eden has 12.4% of his earnings withheld for child support. If this amounts to $396.80 per month, find his annual earnings. ________________

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Q131 Q131 Q131

Solve for base in each of the following. Round to the nearest hundredth. (See Example.)
Solving for Base
Solve for base, using the formula B =
(a) 8 is 4, of _______.
(b) 135 is 15, of _______.
(c) 1.25 is 25, of _______.
SOLUTION
(a)
(b)
(c)
36 students is.75% of ________ students.

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Q132 Q132 Q132

Solve the following application problem. Read problem carefully to determine whether base or part is being asked for.
CALORIES FROM FAT HÃ¤agen-Dazs vanilla ice cream has 270 calories per serving. If 60% of these calories come from fat, find the number of calories coming from fat.

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Q133 Q133 Q133

Solve for base in each of the following. Round to the nearest hundredth. (See Example.)
Solving for Base
Solve for base, using the formula B =
(a) 8 is 4, of _______.
(b) 135 is 15, of _______.
(c) 1.25 is 25, of _______.
SOLUTION
(a)
(b)
(c)
23 workers is.5% of ________ workers.

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Q134 Q134 Q134

Solve the following application problem. Read problem carefully to determine whether base or part is being asked for.
BLOOD-CHOLESTEROL LEVELS At a recent health fair, 32% of the people tested were found to have high blood-cholesterol levels. If 350 people were tested, find the number having a high blood-cholesterol level. ________________

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Q135 Q135 Q135

Solve for base in each of the following. Round to the nearest hundredth. (See Example.)
Solving for Base
Solve for base, using the formula B =
(a) 8 is 4, of _______.
(b) 135 is 15, of _______.
(c) 1.25 is 25, of _______.
SOLUTION
(a)
(b)
(c)
66 files is.15% of ________ files.

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Q136 Q136 Q136

Solve the following application problem. Read problem carefully to determine whether base or part is being asked for.
RETIREMENT ACCOUNT Erin Joyce has 9.5% of her earnings deposited into a retirement account. If this amounts to $308.75 per month, find her annual earnings. ________________

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Q137 Q137 Q137

Solve for base in each of the following. Round to the nearest hundredth. (See Example.)
Solving for Base
Solve for base, using the formula B =
(a) 8 is 4, of _______.
(b) 135 is 15, of _______.
(c) 1.25 is 25, of _______.
SOLUTION
(a)
(b)
(c)
54,600 boxes is 60% of ________ boxes.

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Q138 Q138 Q138

Solve the following application problem. Read problem carefully to determine whether base or part is being asked for.
SICK PET Mary Johnson was very upset when her golden Labrador Retriever lost 6 pounds due to a kidney Infection. If that was 6.9% of the Lab's original weight, find the original weight to the nearest pound. ________________

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Q139 Q139 Q139

Solve for base in each of the following. Round to the nearest hundredth. (See Example.)
Solving for Base
Solve for base, using the formula B =
(a) 8 is 4, of _______.
(b) 135 is 15, of _______.
(c) 1.25 is 25, of _______.
SOLUTION
(a)
(b)
(c)
50 doors is.25% of ________ doors.

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Q140 Q140 Q140

AIDING DISBALED EMPLOYES The bar graph below shows how companies have accommodated their employees with disabilities. The data were collected from personnel directors, human resource directors, and executives responsible for hiring at 501 companies. Use this information to solve Exercise. Round to the nearest whole number.
How many companies have renovated the workplace to aid employees with disabilities? ________________

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Q141 Q141 Q141

Solve for base in each of the following. Round to the nearest hundredth. (See Example.)
Solving for Base
Solve for base, using the formula B =
(a) 8 is 4, of _______.
(b) 135 is 15, of _______.
(c) 1.25 is 25, of _______.
SOLUTION
(a)
(b)
(c)
39 bottles is.78% of ________ bottles.

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Q142 Q142 Q142

AIDING DISBALED EMPLOYES The bar graph below shows how companies have accommodated their employees with disabilities. The data were collected from personnel directors, human resource directors, and executives responsible for hiring at 501 companies. Use this information to solve Exercise. Round to the nearest whole number.
How many companies changed worker responsibilities to aid employees with disabilities? ________________

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Q143 Q143 Q143

Solve for base in each of the following. Round to the nearest hundredth. (See Example.)
Solving for Base
Solve for base, using the formula B =
(a) 8 is 4, of _______.
(b) 135 is 15, of _______.
(c) 1.25 is 25, of _______.
SOLUTION
(a)
(b)
(c)
$33,870 is of ________.

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Q144 Q144 Q144

AIDING DISBALED EMPLOYES The bar graph below shows how companies have accommodated their employees with disabilities. The data were collected from personnel directors, human resource directors, and executives responsible for hiring at 501 companies. Use this information to solve Exercise. Round to the nearest whole number.
Find the number of companies that changed worker hours to aid employees with disabilities. ________________

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Q145 Q145 Q145

AIDING DISBALED EMPLOYES The bar graph below shows how companies have accommodated their employees with disabilities. The data were collected from personnel directors, human resource directors, and executives responsible for hiring at 501 companies. Use this information to solve Exercise. Round to the nearest whole number.
Find the number of companies that made job reassignments to aid employees with disabilities. ________________

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Q146 Q146 Q146

Solve for base in each of the following. Round to the nearest hundredth. (See Example.)
Solving for Base
Solve for base, using the formula B =
(a) 8 is 4, of _______.
(b) 135 is 15, of _______.
(c) 1.25 is 25, of _______.
SOLUTION
(a)
(b)
(c) of ________ people is 135 people.

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Q147 Q147 Q147

Solve for base in each of the following. Round to the nearest hundredth. (See Example.)
Solving for Base
Solve for base, using the formula B =
(a) 8 is 4, of _______.
(b) 135 is 15, of _______.
(c) 1.25 is 25, of _______.
SOLUTION
(a)
(b)
(c) of ________ circuits is 370 circuits.

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Q148 Q148 Q148

Solve for base in each of the following. Round to the nearest hundredth. (See Example.)
Solving for Base
Solve for base, using the formula B =
(a) 8 is 4, of _______.
(b) 135 is 15, of _______.
(c) 1.25 is 25, of _______.
SOLUTION
(a)
(b)
(c)
375 crates is.12% of ________ crates.

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Q149 Q149 Q149

Solve for base in each of the following. Round to the nearest hundredth. (See Example.)
Solving for Base
Solve for base, using the formula B =
(a) 8 is 4, of _______.
(b) 135 is 15, of _______.
(c) 1.25 is 25, of _______.
SOLUTION
(a)
(b)
(c)
3.5 quarts is.07% of ________ quarts.

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Q150 Q150 Q150

Solve for base in each of the following. Round to the nearest hundredth. (See Example.)
Solving for Base
Solve for base, using the formula B =
(a) 8 is 4, of _______.
(b) 135 is 15, of _______.
(c) 1.25 is 25, of _______.
SOLUTION
(a)
(b)
(c)
.5% of ________ homes is 327 homes.

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Q151 Q151 Q151

Solve for base in each of the following. Round to the nearest hundredth. (See Example.)
Solving for Base
Solve for base, using the formula B =
(a) 8 is 4, of _______.
(b) 135 is 15, of _______.
(c) 1.25 is 25, of _______.
SOLUTION
(a)
(b)
(c)
6.5 barrels is.05% of ________ barrels.

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Q152 Q152 Q152

Solve for base in each of the following. Round to the nearest hundredth. (See Example.)
Solving for Base
Solve for base, using the formula B =
(a) 8 is 4, of _______.
(b) 135 is 15, of _______.
(c) 1.25 is 25, of _______.
SOLUTION
(a)
(b)
(c)
12 audits is.03% of ________ audits.

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Q153 Q153 Q153

Solve for base in each of the following. Round to the nearest hundredth. (See Example.)
Solving for Base
Solve for base, using the formula B =
(a) 8 is 4, of _______.
(b) 135 is 15, of _______.
(c) 1.25 is 25, of _______.
SOLUTION
(a)
(b)
(c)
8 banks is.04% of ________ banks.

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Q154 Q154 Q154

Solve for base in each of the following. Round to the nearest hundredth. (See Example.)
Solving for Base
Solve for base, using the formula B =
(a) 8 is 4, of _______.
(b) 135 is 15, of _______.
(c) 1.25 is 25, of _______.
SOLUTION
(a)
(b)
(c)
The basic percent formula is P = R Ã— B. Show how to find the formula to solve for B (base). (See Objective.)
OBJECTIVE 1 Use the basic percent formula to solve for base. In some problems, the rate and part are given, but the base, or whole, must be found. The formula P = R Ã— B can be used to get the formula for base. The following circle diagram may help. To find the formula for base, cover B with your finger. This leaves P divided by R, so
Scott and Andrea Abriana can afford a monthly house payment of only 28% of their income, or $1386. To find their monthly income, insert the rate of 28% and the part, or monthly payment of $1386, into the formula. Be sure to first convert 28% to its decimal equivalent,.28.
Their monthly income is $4950.

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Q155 Q155 Q155

Solve for base in each of the following. Round to the nearest hundredth. (See Example.)
Solving for Base
Solve for base, using the formula B =
(a) 8 is 4, of _______.
(b) 135 is 15, of _______.
(c) 1.25 is 25, of _______.
SOLUTION
(a)
(b)
(c)
A problem includes amount of sales, sales tax, and a sales-tax rate. Explain how you could identify the base, rate, and part in this problem. (See Objective.)
OBJECTIVE Find sales when tax amount and tax rate are known. In business problems involving sales tax, the amount of sales is always the base.

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Q156 Q156 Q156

Solve the following application problem. (See Examples.)
Finding Sales When Sales Tax Is Given
One week, a Famous Footware store collected sales taxes of $780. If the sales tax rate is 5% find total sales for the week.
SOLUTION
Here, the rate of tax collection is 5% and taxes collected are a part of total sales. The rate in this problem is 5%,he part is $780, and the base, or total sales, must be found. Arrange the problem in standard form.
Using the formula B = we get
The calculator solution to this example is
Finding the Amount of an Investment
Roberta Gonzales received $162.50 in interest from an account that paid 1.25, interest for the year. Find the amount of money invested in the account.
SOLUTION
The part ( P ) is the $162.50 in interest and the rate ( R ) is 1.25,. The whole, or base ( B ), is unknown.
The original investment was $13,000.
EMPLOYEE POPULATION BASE In a large metropolitan area, 81% of the employed population is enrolled in a health maintenance organization (HMO). If 700,650 employees are enrolled, find the total number of people in the employed population. ________________

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Q157 Q157 Q157

Solve the following application problem. (See Examples.)
Finding Sales When Sales Tax Is Given
One week, a Famous Footware store collected sales taxes of $780. If the sales tax rate is 5% find total sales for the week.
SOLUTION
Here, the rate of tax collection is 5% and taxes collected are a part of total sales. The rate in this problem is 5%,he part is $780, and the base, or total sales, must be found. Arrange the problem in standard form.
Using the formula B = we get
The calculator solution to this example is
Finding the Amount of an Investment
Roberta Gonzales received $162.50 in interest from an account that paid 1.25, interest for the year. Find the amount of money invested in the account.
SOLUTION
The part ( P ) is the $162.50 in interest and the rate ( R ) is 1.25,. The whole, or base ( B ), is unknown.
The original investment was $13,000.
COLLEGE ENROLLMENT This semester there are 1785 married students on campus. If this figure represents 23% of the total enrollment, what is the total enrollment? Round to the nearest whole number. ________________

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Q158 Q158 Q158

Solve the following application problem. (See Examples.)
Finding Sales When Sales Tax Is Given
One week, a Famous Footware store collected sales taxes of $780. If the sales tax rate is 5% find total sales for the week.
SOLUTION
Here, the rate of tax collection is 5% and taxes collected are a part of total sales. The rate in this problem is 5%,he part is $780, and the base, or total sales, must be found. Arrange the problem in standard form.
Using the formula B = we get
The calculator solution to this example is
Finding the Amount of an Investment
Roberta Gonzales received $162.50 in interest from an account that paid 1.25, interest for the year. Find the amount of money invested in the account.
SOLUTION
The part ( P ) is the $162.50 in interest and the rate ( R ) is 1.25,. The whole, or base ( B ), is unknown.
The original investment was $13,000.
VOTER REGISTRATION Registered Republican voters make up 13.8% of the population of one county. If there are 345,000 registered Republican voters in the county, find the total population in the county. ________________

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Q159 Q159 Q159

Solve the following application problem. (See Examples.)
Finding Sales When Sales Tax Is Given
One week, a Famous Footware store collected sales taxes of $780. If the sales tax rate is 5% find total sales for the week.
SOLUTION
Here, the rate of tax collection is 5% and taxes collected are a part of total sales. The rate in this problem is 5%,he part is $780, and the base, or total sales, must be found. Arrange the problem in standard form.
Using the formula B = we get
The calculator solution to this example is
Finding the Amount of an Investment
Roberta Gonzales received $162.50 in interest from an account that paid 1.25, interest for the year. Find the amount of money invested in the account.
SOLUTION
The part ( P ) is the $162.50 in interest and the rate ( R ) is 1.25,. The whole, or base ( B ), is unknown.
The original investment was $13,000.
LOAN QUALIFICATION Thomas Dugally found a home for Scott and Andrea Abriani that will require a monthly loan payment of $1350. If the lender insists that the buyer's monthly payment not exceed 30% of the buyer's monthly income, find the minimum monthly income required by the lender. ________________

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Q160 Q160 Q160

Solve the following application problem. (See Examples.)
Finding Sales When Sales Tax Is Given
One week, a Famous Footware store collected sales taxes of $780. If the sales tax rate is 5% find total sales for the week.
SOLUTION
Here, the rate of tax collection is 5% and taxes collected are a part of total sales. The rate in this problem is 5%,he part is $780, and the base, or total sales, must be found. Arrange the problem in standard form.
Using the formula B = we get
The calculator solution to this example is
Finding the Amount of an Investment
Roberta Gonzales received $162.50 in interest from an account that paid 1.25, interest for the year. Find the amount of money invested in the account.
SOLUTION
The part ( P ) is the $162.50 in interest and the rate ( R ) is 1.25,. The whole, or base ( B ), is unknown.
The original investment was $13,000.
DRIVING TESTS In analyzing the success of driver's license applicants, the state finds that 58.3% of those examined received a passing mark. If the records show that 8370 new driver's licenses were issued, what was the number of applicants? Round to the nearest whole number. ________________

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Q161 Q161 Q161

Solve the following application problem. (See Examples.)
Finding Sales When Sales Tax Is Given
One week, a Famous Footware store collected sales taxes of $780. If the sales tax rate is 5% find total sales for the week.
SOLUTION
Here, the rate of tax collection is 5% and taxes collected are a part of total sales. The rate in this problem is 5%,he part is $780, and the base, or total sales, must be found. Arrange the problem in standard form.
Using the formula B = we get
The calculator solution to this example is
Finding the Amount of an Investment
Roberta Gonzales received $162.50 in interest from an account that paid 1.25, interest for the year. Find the amount of money invested in the account.
SOLUTION
The part ( P ) is the $162.50 in interest and the rate ( R ) is 1.25,. The whole, or base ( B ), is unknown.
The original investment was $13,000.
PERSONAL BUDGETING Jim Lawler spends 28% of his income on housing, 15, on food, 11% on clothing, 15% on transportation, 11% on education, 7% on recreation, 7% on miscellaneous, and saves the balance. If his savings amount to $200 per month, what are his monthly earnings? ________________

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Q162 Q162 Q162

Solve the following application problem. (See Examples.)
Finding Sales When Sales Tax Is Given
One week, a Famous Footware store collected sales taxes of $780. If the sales tax rate is 5% find total sales for the week.
SOLUTION
Here, the rate of tax collection is 5% and taxes collected are a part of total sales. The rate in this problem is 5%,he part is $780, and the base, or total sales, must be found. Arrange the problem in standard form.
Using the formula B = we get
The calculator solution to this example is
Finding the Amount of an Investment
Roberta Gonzales received $162.50 in interest from an account that paid 1.25, interest for the year. Find the amount of money invested in the account.
SOLUTION
The part ( P ) is the $162.50 in interest and the rate ( R ) is 1.25,. The whole, or base ( B ), is unknown.
The original investment was $13,000.
FAMILY SIZE One survey among college students found that 28.4% grew up in a home with two or more siblings and 44.7% grew up in a home with one sibling. If 194 students grew up in a home with no siblings, find the size of the survey group. ________________

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Q163 Q163 Q163

Solve the following application problem. (See Examples.)
Finding Sales When Sales Tax Is Given
One week, a Famous Footware store collected sales taxes of $780. If the sales tax rate is 5% find total sales for the week.
SOLUTION
Here, the rate of tax collection is 5% and taxes collected are a part of total sales. The rate in this problem is 5%,he part is $780, and the base, or total sales, must be found. Arrange the problem in standard form.
Using the formula B = we get
The calculator solution to this example is
Finding the Amount of an Investment
Roberta Gonzales received $162.50 in interest from an account that paid 1.25, interest for the year. Find the amount of money invested in the account.
SOLUTION
The part ( P ) is the $162.50 in interest and the rate ( R ) is 1.25,. The whole, or base ( B ), is unknown.
The original investment was $13,000.
MAN'S BEST FRIEND In a recent survey of dog owners, it was found that 901, or 34%, of the owners take their dogs on vacation with them. Find the number of dog owners in the survey who do not take their dogs on vacation. ________________

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Q164 Q164 Q164

Solve the following application problem. (See Examples.)
Finding Sales When Sales Tax Is Given
One week, a Famous Footware store collected sales taxes of $780. If the sales tax rate is 5% find total sales for the week.
SOLUTION
Here, the rate of tax collection is 5% and taxes collected are a part of total sales. The rate in this problem is 5%,he part is $780, and the base, or total sales, must be found. Arrange the problem in standard form.
Using the formula B = we get
The calculator solution to this example is
Finding the Amount of an Investment
Roberta Gonzales received $162.50 in interest from an account that paid 1.25, interest for the year. Find the amount of money invested in the account.
SOLUTION
The part ( P ) is the $162.50 in interest and the rate ( R ) is 1.25,. The whole, or base ( B ), is unknown.
The original investment was $13,000.
HIRING Apple, Inc. recently announced that it will be hiring 1800 employees. If this is about 4.3% of the current workforce, estimate the number of people who work for Apple.

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Q165 Q165 Q165

Solve the following application problem. (See Examples.)
Finding Sales When Sales Tax Is Given
One week, a Famous Footware store collected sales taxes of $780. If the sales tax rate is 5% find total sales for the week.
SOLUTION
Here, the rate of tax collection is 5% and taxes collected are a part of total sales. The rate in this problem is 5%,he part is $780, and the base, or total sales, must be found. Arrange the problem in standard form.
Using the formula B = we get
The calculator solution to this example is
Finding the Amount of an Investment
Roberta Gonzales received $162.50 in interest from an account that paid 1.25, interest for the year. Find the amount of money invested in the account.
SOLUTION
The part ( P ) is the $162.50 in interest and the rate ( R ) is 1.25,. The whole, or base ( B ), is unknown.
The original investment was $13,000.
GAMBLING PAYBACK An Atlantic City casino advertises that it gives a 97.4% payback on slot machines, and the balance is retained by the casino. If the amount retained by the casino one day is $4823, find the total amount played on the slot machines. ________________

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Q166 Q166 Q166

Solve the following application problem. (See Examples.)
Finding Sales When Sales Tax Is Given
One week, a Famous Footware store collected sales taxes of $780. If the sales tax rate is 5% find total sales for the week.
SOLUTION
Here, the rate of tax collection is 5% and taxes collected are a part of total sales. The rate in this problem is 5%,he part is $780, and the base, or total sales, must be found. Arrange the problem in standard form.
Using the formula B = we get
The calculator solution to this example is
Finding the Amount of an Investment
Roberta Gonzales received $162.50 in interest from an account that paid 1.25, interest for the year. Find the amount of money invested in the account.
SOLUTION
The part ( P ) is the $162.50 in interest and the rate ( R ) is 1.25,. The whole, or base ( B ), is unknown.
The original investment was $13,000.
SMOKING OR NONSMOKING A casino hotel in Barbados states that 45% of its rooms are for nonsmokers. If the resort allows smoking in 484 rooms, find the total number of rooms. ________________

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Q167 Q167 Q167

In the equation P = B Ã— R , P = part , B = base , or whole, and R = rate , or percent. Use the following forms of the equation to solve the application problem.
You will first need to read the problem carefully to determine whether base, part, or rate is unknown. Round rates to the nearest tenth of a percent.
VACATION MISTAKES Out of 571 employees interviewed, 17% said they thought about work while on vacation. How many people thought about work? ________________

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Q168 Q168 Q168

In the equation P = B Ã— R , P = part , B = base , or whole, and R = rate , or percent. Use the following forms of the equation to solve the application problem.
You will first need to read the problem carefully to determine whether base, part, or rate is unknown. Round rates to the nearest tenth of a percent.
AMERICAN CHIROPRACTIC ASSOCIATION There are 60,000 licensed chiropractors in the United States. If 25% of these chiropractors belong to the American Chiropractic Association (ACA), find the number of chiropractors in the ACA. ________________

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Q169 Q169 Q169

Solve for rate in the following. Round to the nearest tenth of a percent. (See Example.)
Solving for Rate
Solve for rate.
(a) 26 is______% of 104.
(b) ______% of 300 is 60.
(c) 54 is______% of 12.
Quick TIP
When finding rate, be sure to change your decimal answer to a percent.
SOLUTION
(a)
(b)
(c)
35 rail cars is ________ % of 70 rail cars.

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Q170 Q170 Q170

In the equation P = B Ã— R , P = part , B = base , or whole, and R = rate , or percent. Use the following forms of the equation to solve the application problem.
You will first need to read the problem carefully to determine whether base, part, or rate is unknown. Round rates to the nearest tenth of a percent.
MOTORCYCLE SAFETY Only 20 of the 50 states require all motorcycle riders to wear helmets. What percent of the states require motorcycle riders to wear helmets? ________________

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Q171 Q171 Q171

Solve for rate in the following. Round to the nearest tenth of a percent. (See Example.)
Solving for Rate
Solve for rate.
(a) 26 is______% of 104.
(b) ______% of 300 is 60.
(c) 54 is______% of 12.
Quick TIP
When finding rate, be sure to change your decimal answer to a percent.
SOLUTION
(a)
(b)
(c)
144 desks is ________ % of 300 desks.

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Q172 Q172 Q172

In the equation P = B Ã— R , P = part , B = base , or whole, and R = rate , or percent. Use the following forms of the equation to solve the application problem.
You will first need to read the problem carefully to determine whether base, part, or rate is unknown. Round rates to the nearest tenth of a percent.
EFFECTS OF GLOBAL WARMING Periodically, 50% or more of all species of animals have gone extinct in a relatively short period of time. Many scientists believe we are entering such a period now as the Earth warms. In fact, one scientist predicts that as many as 5 million out of the estimated 8.7 million species on earth will disappear by 2100. Find the percent that may go extinct. ________________

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Q173 Q173 Q173

Solve for rate in the following. Round to the nearest tenth of a percent. (See Example.)
Solving for Rate
Solve for rate.
(a) 26 is______% of 104.
(b) ______% of 300 is 60.
(c) 54 is______% of 12.
Quick TIP
When finding rate, be sure to change your decimal answer to a percent.
SOLUTION
(a)
(b)
(c)
________ % of 78.57 ounces is 22.2 ounces.

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Q174 Q174 Q174

In the equation P = B Ã— R , P = part , B = base , or whole, and R = rate , or percent. Use the following forms of the equation to solve the application problem.
You will first need to read the problem carefully to determine whether base, part, or rate is unknown. Round rates to the nearest tenth of a percent.
LOST OVERBOARD In a recent insurance company study of boaters who had lost items overboard, 88 boaters or 8% said that they lost their cell phones. Find the total number of boaters in the survey. ________________

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Q175 Q175 Q175

Solve for rate in the following. Round to the nearest tenth of a percent. (See Example.)
Solving for Rate
Solve for rate.
(a) 26 is______% of 104.
(b) ______% of 300 is 60.
(c) 54 is______% of 12.
Quick TIP
When finding rate, be sure to change your decimal answer to a percent.
SOLUTION
(a)
(b)
(c)
________ % of 728 miles is 509.6 miles.

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Q176 Q176 Q176

In the equation P = B Ã— R , P = part , B = base , or whole, and R = rate , or percent. Use the following forms of the equation to solve the application problem.
You will first need to read the problem carefully to determine whether base, part, or rate is unknown. Round rates to the nearest tenth of a percent.
LIGHTS OUT There are still 88,000 households in the United States that do not have electricity. If this is.08% of the homes, find the total number of households. ________________

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Q177 Q177 Q177

Solve for rate in the following. Round to the nearest tenth of a percent. (See Example.)
Solving for Rate
Solve for rate.
(a) 26 is______% of 104.
(b) ______% of 300 is 60.
(c) 54 is______% of 12.
Quick TIP
When finding rate, be sure to change your decimal answer to a percent.
SOLUTION
(a)
(b)
(c)
114 tuxedos is ________ % of 150 tuxedos.

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Q178 Q178 Q178

In the equation P = B Ã— R , P = part , B = base , or whole, and R = rate , or percent. Use the following forms of the equation to solve the application problem.
You will first need to read the problem carefully to determine whether base, part, or rate is unknown. Round rates to the nearest tenth of a percent.
COST AFTER MARKDOWN A commercial copier and fax machine priced at $398 is marked down 7% to promote the new model. Find the reduced price. ________________

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Q179 Q179 Q179

Solve for rate in the following. Round to the nearest tenth of a percent. (See Example.)
Solving for Rate
Solve for rate.
(a) 26 is______% of 104.
(b) ______% of 300 is 60.
(c) 54 is______% of 12.
Quick TIP
When finding rate, be sure to change your decimal answer to a percent.
SOLUTION
(a)
(b)
(c)
$310.75 is ________ % of $124.30.

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Q180 Q180 Q180

In the equation P = B Ã— R , P = part , B = base , or whole, and R = rate , or percent. Use the following forms of the equation to solve the application problem.
You will first need to read the problem carefully to determine whether base, part, or rate is unknown. Round rates to the nearest tenth of a percent.
IPHONE DISCOUNT An older model iPhone was marked down by 15% from its original price of $199. Find the reduced price of the old model. ________________

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Q181 Q181 Q181

Solve for rate in the following. Round to the nearest tenth of a percent. (See Example.)
Solving for Rate
Solve for rate.
(a) 26 is______% of 104.
(b) ______% of 300 is 60.
(c) 54 is______% of 12.
Quick TIP
When finding rate, be sure to change your decimal answer to a percent.
SOLUTION
(a)
(b)
(c)
________ % of $53.75 is $2.20.

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Q183 Q183 Q183

Solve for rate in the following. Round to the nearest tenth of a percent. (See Example.)
Solving for Rate
Solve for rate.
(a) 26 is______% of 104.
(b) ______% of 300 is 60.
(c) 54 is______% of 12.
Quick TIP
When finding rate, be sure to change your decimal answer to a percent.
SOLUTION
(a)
(b)
(c)
________ % of 850 liters is 3.4 liters.

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Q185 Q185 Q185

Solve for rate in the following. Round to the nearest tenth of a percent. (See Example.)
Solving for Rate
Solve for rate.
(a) 26 is______% of 104.
(b) ______% of 300 is 60.
(c) 54 is______% of 12.
Quick TIP
When finding rate, be sure to change your decimal answer to a percent.
SOLUTION
(a)
(b)
(c)
46 shirts is ________ % of 780 shirts.

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Q187 Q187 Q187

Solve for rate in the following. Round to the nearest tenth of a percent. (See Example.)
Solving for Rate
Solve for rate.
(a) 26 is______% of 104.
(b) ______% of 300 is 60.
(c) 54 is______% of 12.
Quick TIP
When finding rate, be sure to change your decimal answer to a percent.
SOLUTION
(a)
(b)
(c)
5.2 smart phones is ________ % of 28.4 smart phones.

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Q189 Q189 Q189

Solve for rate in the following. Round to the nearest tenth of a percent. (See Example.)
Solving for Rate
Solve for rate.
(a) 26 is______% of 104.
(b) ______% of 300 is 60.
(c) 54 is______% of 12.
Quick TIP
When finding rate, be sure to change your decimal answer to a percent.
SOLUTION
(a)
(b)
(c)
________ % of 600 acres is 7.5 acres.

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Q191 Q191 Q191

Solve for rate in the following. Round to the nearest tenth of a percent. (See Example.)
Solving for Rate
Solve for rate.
(a) 26 is______% of 104.
(b) ______% of 300 is 60.
(c) 54 is______% of 12.
Quick TIP
When finding rate, be sure to change your decimal answer to a percent.
SOLUTION
(a)
(b)
(c)
________ % of $8 is $.06.

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Q193 Q193 Q193

Solve for rate in the following. Round to the nearest tenth of a percent. (See Example.)
Solving for Rate
Solve for rate.
(a) 26 is______% of 104.
(b) ______% of 300 is 60.
(c) 54 is______% of 12.
Quick TIP
When finding rate, be sure to change your decimal answer to a percent.
SOLUTION
(a)
(b)
(c)
170 cartons is ________ % of 68 cartons.

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Q195 Q195 Q195

Solve for rate in the following. Round to the nearest tenth of a percent. (See Example.)
Solving for Rate
Solve for rate.
(a) 26 is______% of 104.
(b) ______% of 300 is 60.
(c) 54 is______% of 12.
Quick TIP
When finding rate, be sure to change your decimal answer to a percent.
SOLUTION
(a)
(b)
(c)
________ % of 425 orders is 612 orders.

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Q197 Q197 Q197

Solve for rate in the following. Round to the nearest tenth of a percent. (See Example.)
Solving for Rate
Solve for rate.
(a) 26 is______% of 104.
(b) ______% of 300 is 60.
(c) 54 is______% of 12.
Quick TIP
When finding rate, be sure to change your decimal answer to a percent.
SOLUTION
(a)
(b)
(c)
________ % of $330 is $91.74.

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Q198 Q198 Q198

POPULATION FORECASTS The figure shows current population with a forecast of population for 2050 for the six most populated countries of the world. Use the data to answer Exercise.
For each country, find the percent increase in population forecast for 2050 rounded to the nearest percent. ________________

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Q199 Q199 Q199

Solve for rate in the following. Round to the nearest tenth of a percent. (See Example.)
Solving for Rate
Solve for rate.
(a) 26 is______% of 104.
(b) ______% of 300 is 60.
(c) 54 is______% of 12.
Quick TIP
When finding rate, be sure to change your decimal answer to a percent.
SOLUTION
(a)
(b)
(c)
________ % of 752 employees is 470 employees.

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Q200 Q200 Q200

POPULATION FORECASTS The figure shows current population with a forecast of population for 2050 for the six most populated countries of the world. Use the data to answer Exercise.
List the countries from those growing most rapidly (in percent growth) to those growing slowest. ________________

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Q201 Q201 Q201

The basic percent formula is P = B Ã— R. Show how to find the formula to solve for R (rate). (See Objective.)
Use the basic percent formula to solve for rate. In this type of percent problem, the part and base are given, and the rate must be found. The formula for rate is found from the formula P = B Ã— R. To find the rate using the diagram, cover R to get or part Ã· base.
Actually, the formula P = B Ã— R can be used to find either P, B, or R as long as the values of two of the three components are known.

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Q202 Q202 Q202

POPULATION FORECASTS The figure shows current population with a forecast of population for 2050 for the six most populated countries of the world. Use the data to answer Exercise.
Find the 2050 forecast population for China and India, and write using digits. ________________

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Q204 Q204 Q204

POPULATION FORECASTS The figure shows current population with a forecast of population for 2050 for the six most populated countries of the world. Use the data to answer Exercise.
China was the most populous country in the world in 2000. What country is forecast to be the most populous by 2050? What is the difference between the forecast population of this country and China in 2050? ________________

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Q205 Q205 Q205

HEALTH IN A MACHINE Vending machines on campus must include healthy food choices such as fruits, fruit juices, and healthy snacks. Of the total items sold in the machines this past month, 1440 or 25% have been in the healthy foods group. Find the total number of items sold in the vending machines. ________________

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Q206 Q206 Q206

Solve for rate in the following application problem. Round to the nearest tenth of a percent. (See Examples.)
Finding the Rate of Return
An investment officer at Graham Bank placed $3,000,000 in a government security. It remained there for one year and earned $48,000 in interest. Find the rate of return.
SOLUTION
The whole is $3,000,000 and the part is $48,000. Find the rate as follows.
The investment earned 1.6, for the year.
Solving for the Percent Remaining
One of the toughest races in the world is the 26.2-mile-long marathon. After running 22 miles, Sheila James is exhausted. Find the percent of the race that she must still run.
SOLUTION
Distance yet to be run = 26.2 ? 22 = 4.2 miles
James still has to run 16, of the total distance.
JOB CUTS One Carrier Corporation factory builds air conditioning systems for commercial buildings. Sales are traditionally low as summer draws to an end and the manager decides he must layoff 80 of the 760 employees working on the assembly lines. Find the percent of workers that will be laid off. ________________

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Q208 Q208 Q208

Solve for rate in the following application problem. Round to the nearest tenth of a percent. (See Examples.)
Finding the Rate of Return
An investment officer at Graham Bank placed $3,000,000 in a government security. It remained there for one year and earned $48,000 in interest. Find the rate of return.
SOLUTION
The whole is $3,000,000 and the part is $48,000. Find the rate as follows.
The investment earned 1.6, for the year.
Solving for the Percent Remaining
One of the toughest races in the world is the 26.2-mile-long marathon. After running 22 miles, Sheila James is exhausted. Find the percent of the race that she must still run.
SOLUTION
Distance yet to be run = 26.2 ? 22 = 4.2 miles
James still has to run 16, of the total distance.
WOMEN IN THE MILITARY A recent study by Rand's National Defense Research Institute examined 48,000 military jobs, such as Army attack-helicopter pilot and Navy gunner's mate. It was found that only 960 of these jobs are filled by women. What percent of these jobs are filled by women? ________________

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Q209 Q209 Q209

SAVING TO BUY A HOME Shamus and Kathleen McCoy want to save to buy a home. They set up the following budget based on percent of take-home income: 25% for rent and utilities, 22% for food and pharmacy, 12% for health care, and 32% for other, with the remainder to savings. Their take-home pay after taxes is $5450 per month. Find the annual savings. ________________

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Q210 Q210 Q210

Solve for rate in the following application problem. Round to the nearest tenth of a percent. (See Examples.)
Finding the Rate of Return
An investment officer at Graham Bank placed $3,000,000 in a government security. It remained there for one year and earned $48,000 in interest. Find the rate of return.
SOLUTION
The whole is $3,000,000 and the part is $48,000. Find the rate as follows.
The investment earned 1.6, for the year.
Solving for the Percent Remaining
One of the toughest races in the world is the 26.2-mile-long marathon. After running 22 miles, Sheila James is exhausted. Find the percent of the race that she must still run.
SOLUTION
Distance yet to be run = 26.2 ? 22 = 4.2 miles
James still has to run 16, of the total distance.
VOCABULARY There are 55,000-plus words in Webster 's Dictionary , but most educated people can identify only 20,000 of these words. What percent of the words in the dictionary can these people identify? ________________

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Q212 Q212 Q212

Solve for rate in the following application problem. Round to the nearest tenth of a percent. (See Examples.)
Finding the Rate of Return
An investment officer at Graham Bank placed $3,000,000 in a government security. It remained there for one year and earned $48,000 in interest. Find the rate of return.
SOLUTION
The whole is $3,000,000 and the part is $48,000. Find the rate as follows.
The investment earned 1.6, for the year.
Solving for the Percent Remaining
One of the toughest races in the world is the 26.2-mile-long marathon. After running 22 miles, Sheila James is exhausted. Find the percent of the race that she must still run.
SOLUTION
Distance yet to be run = 26.2 ? 22 = 4.2 miles
James still has to run 16, of the total distance.
ADVERTISING EXPENSES Advertising expenditures for Bailey's Roofers are as follows. ________________ What percent of the total advertising expenditures is spent on radio advertising? ________________

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Q213 Q213 Q213

BUDGETING The owner of Omni Web Designs decides to save in order to purchase the small building he currently rents. Currently, after tax income averages $6800 per month. The owner budgets the following: 35% for rent, 17% for utilities and insurance, and 40% for salaries and supplies, with the remainder to savings. Find the annual savings. ________________

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Q214 Q214 Q214

Solve for rate in the following application problem. Round to the nearest tenth of a percent. (See Examples.)
Finding the Rate of Return
An investment officer at Graham Bank placed $3,000,000 in a government security. It remained there for one year and earned $48,000 in interest. Find the rate of return.
SOLUTION
The whole is $3,000,000 and the part is $48,000. Find the rate as follows.
The investment earned 1.6, for the year.
Solving for the Percent Remaining
One of the toughest races in the world is the 26.2-mile-long marathon. After running 22 miles, Sheila James is exhausted. Find the percent of the race that she must still run.
SOLUTION
Distance yet to be run = 26.2 ? 22 = 4.2 miles
James still has to run 16, of the total distance.
TANNING SALON Thai Beach says that of its 1100 customers, only about 250 tan regularly. Find the percent that tan regularly. ________________

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Q215 Q215 Q215

BENEFIT INCREASE One 80-year-old couple gets $1582 in monthly Social Security benefits. They receive a letter saying that their benefits will go up by 2.4% per month. Find the amount of the increase and the new total monthly benefit, both to the nearest dollar. ________________

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Q216 Q216 Q216

Solve for rate in the following application problem. Round to the nearest tenth of a percent. (See Examples.)
Finding the Rate of Return
An investment officer at Graham Bank placed $3,000,000 in a government security. It remained there for one year and earned $48,000 in interest. Find the rate of return.
SOLUTION
The whole is $3,000,000 and the part is $48,000. Find the rate as follows.
The investment earned 1.6, for the year.
Solving for the Percent Remaining
One of the toughest races in the world is the 26.2-mile-long marathon. After running 22 miles, Sheila James is exhausted. Find the percent of the race that she must still run.
SOLUTION
Distance yet to be run = 26.2 ? 22 = 4.2 miles
James still has to run 16, of the total distance.
BEER CONSUMPTION Cricket's is a popular club for students from the nearby college. The club had 840 customers during Labor Day weekend. If 487 of those customers were under 26 years of age, find the percent under 26. ________________

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Q217 Q217 Q217

SIDE-IMPACT COLLISIONS Automobile accidents involving side-impact collision resulted in 9000 deaths last year. If automobiles were manufactured to meet a side-impact standard, it is estimated that 63.8% of these deaths would have been prevented. How many deaths would have been prevented? ________________

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Q218 Q218 Q218

Solve for rate in the following application problem. Round to the nearest tenth of a percent. (See Examples.)
Finding the Rate of Return
An investment officer at Graham Bank placed $3,000,000 in a government security. It remained there for one year and earned $48,000 in interest. Find the rate of return.
SOLUTION
The whole is $3,000,000 and the part is $48,000. Find the rate as follows.
The investment earned 1.6, for the year.
Solving for the Percent Remaining
One of the toughest races in the world is the 26.2-mile-long marathon. After running 22 miles, Sheila James is exhausted. Find the percent of the race that she must still run.
SOLUTION
Distance yet to be run = 26.2 ? 22 = 4.2 miles
James still has to run 16, of the total distance.
MOTORCYCLISTS Of the 2380 motorcycle riders that participated in a recent bike rally through the California mountains, 2041 were men. Find the percent who were men.

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Q219 Q219 Q219

WATER SCARCITY A bottling company in India is installing new equipment that will reduce its current water consumption of 6.2 million gallons per year by 4.2%. Find the amount of water used after the installation of the new equipment and round to the neares tenth of a million gallons.

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Q220 Q220 Q220

Solve for rate in the following application problem. Round to the nearest tenth of a percent. (See Examples.)
Finding the Rate of Return
An investment officer at Graham Bank placed $3,000,000 in a government security. It remained there for one year and earned $48,000 in interest. Find the rate of return.
SOLUTION
The whole is $3,000,000 and the part is $48,000. Find the rate as follows.
The investment earned 1.6, for the year.
Solving for the Percent Remaining
One of the toughest races in the world is the 26.2-mile-long marathon. After running 22 miles, Sheila James is exhausted. Find the percent of the race that she must still run.
SOLUTION
Distance yet to be run = 26.2 ? 22 = 4.2 miles
James still has to run 16, of the total distance.
NURSING In a recent survey of 230 nurses, 159 were unhappy with their jobs due to the difficult working hours and work-related stresses. Find the percent unhappy with their jobs. ________________

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Q221 Q221 Q221

S. PATENT RECIPIENTS Among the 50 companies receiving the greatest number of U.S. patents last year, 18 were Japanese companies. (a) What percent of the top 50 companies were Japanese companies? ________________ (b) What percent of the top 50 companies were not Japanese companies? ________________

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Q222 Q222 Q222

Solve for rate in the following application problem. Round to the nearest tenth of a percent. (See Examples.)
Finding the Rate of Return
An investment officer at Graham Bank placed $3,000,000 in a government security. It remained there for one year and earned $48,000 in interest. Find the rate of return.
SOLUTION
The whole is $3,000,000 and the part is $48,000. Find the rate as follows.
The investment earned 1.6, for the year.
Solving for the Percent Remaining
One of the toughest races in the world is the 26.2-mile-long marathon. After running 22 miles, Sheila James is exhausted. Find the percent of the race that she must still run.
SOLUTION
Distance yet to be run = 26.2 ? 22 = 4.2 miles
James still has to run 16, of the total distance.
WIND ENERGY In the early 1980s, windgenerated electricity cost about 30 cents per kilowatt hour. Today, the best wind systems can produce electricity for 3 cents per kilowatt hour. Find today's cost as a percent of the cost in the 1980s. ________________

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Q223 Q223 Q223

BLOOD-ALCOHOL LEVELS In the United States, 15 of the 50 states limit blood-alcohol levels for drivers to.08%. The remaining states limit these levels to.10%.
(a) What percent of the states have a blood-alcohol limit of.08,? ________________
(b) What percent have a limit of.10,? ________________

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Q224 Q224 Q224

Solve for base in the following. Round to the nearest cent. (Hint: Original + Increase = New Value.) (See Examples.)
Using a Diagram to Understand an Increase Problem
The value of a home sold by Tom Dugally this year is $203,500, which is 10, more than last year's value. Find the value of the home last year.
SOLUTION
CASE IN POINT The phrase "10% more than last year's value," tells us that last year's value is the base and that it is the unknown. The figure below shows last year's value as 100% and this year's value which is:
(the base + 10% more than last year's value) = 110% of the base
The diagram shows that the 10, increase is based on last year's value which is not known. It is not based on this year's value of $203,500. This year's value is last year's value plus 10, of last year's value.
Use the basic percent formula to solve for base in increase problems.
Substituting in the percent formula with part = $203,500 and rate = 110, results in the following.
Quick TIP
The common error in solving an increase problem is thinking that the base is given and that the solution can be found by solving for part.
Solving for B results in the following equation, which is solved for B.
So the value of the house last year was $185,000. Now check the answer.
$203,500 is 110, of $185,000.
Finding Base after Two Increases
Due to increased demand for a patented process that will help analyze the DNA of mice, Biotics Genome has increased production of testing kits by 20, per year for each of the two past years. This year's production is 93,600 kits. Find the number of kits produced two years ago.
SOLUTION
The two 20, increases cannot be added together since the two increases act on different bases. Solve this problem in two steps, one for each of the 20, increases. First, use a diagram to find last year's production of DNA kits.
Last year's production plus 20% of last year's production equals this year's production. So, part ( P ) = 93,600 and rate ( R ) = 120%
The number of DNA testing kits produced last year was 78,000. Use this number and knowledge that the sales volume increased 20, from 2 years ago to last year to find production 2 years ago.
Quick TIP
It is important to realize that the two 20, increases cannot be added together to equal one increase of 40,. Each 20, increase is calculated on a different base.
Production two years ago added to 20, of that production equals last year's production. So, part ( P ) = 78,000 and rate ( R ) = 120% once again.
The calculator solution to this example is done by dividing in a series.
Check the answer.

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Q225 Q225 Q225

Solve for base in the following. Round to the nearest cent. (Hint: Original + Increase = New Value.) (See Examples.)
Using a Diagram to Understand an Increase Problem
The value of a home sold by Tom Dugally this year is $203,500, which is 10, more than last year's value. Find the value of the home last year.
SOLUTION
CASE IN POINT The phrase "10% more than last year's value," tells us that last year's value is the base and that it is the unknown. The figure below shows last year's value as 100% and this year's value which is:
(the base + 10% more than last year's value) = 110% of the base
The diagram shows that the 10, increase is based on last year's value which is not known. It is not based on this year's value of $203,500. This year's value is last year's value plus 10, of last year's value.
Use the basic percent formula to solve for base in increase problems.
Substituting in the percent formula with part = $203,500 and rate = 110, results in the following.
Quick TIP
The common error in solving an increase problem is thinking that the base is given and that the solution can be found by solving for part.
Solving for B results in the following equation, which is solved for B.
So the value of the house last year was $185,000. Now check the answer.
$203,500 is 110, of $185,000.
Finding Base after Two Increases
Due to increased demand for a patented process that will help analyze the DNA of mice, Biotics Genome has increased production of testing kits by 20, per year for each of the two past years. This year's production is 93,600 kits. Find the number of kits produced two years ago.
SOLUTION
The two 20, increases cannot be added together since the two increases act on different bases. Solve this problem in two steps, one for each of the 20, increases. First, use a diagram to find last year's production of DNA kits.
Last year's production plus 20% of last year's production equals this year's production. So, part ( P ) = 93,600 and rate ( R ) = 120%
The number of DNA testing kits produced last year was 78,000. Use this number and knowledge that the sales volume increased 20, from 2 years ago to last year to find production 2 years ago.
Quick TIP
It is important to realize that the two 20, increases cannot be added together to equal one increase of 40,. Each 20, increase is calculated on a different base.
Production two years ago added to 20, of that production equals last year's production. So, part ( P ) = 78,000 and rate ( R ) = 120% once again.
The calculator solution to this example is done by dividing in a series.
Check the answer.

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Q226 Q226 Q226

Solve for base in the following. Round to the nearest cent. (Hint: Original + Increase = New Value.) (See Examples.)
Using a Diagram to Understand an Increase Problem
The value of a home sold by Tom Dugally this year is $203,500, which is 10, more than last year's value. Find the value of the home last year.
SOLUTION
CASE IN POINT The phrase "10% more than last year's value," tells us that last year's value is the base and that it is the unknown. The figure below shows last year's value as 100% and this year's value which is:
(the base + 10% more than last year's value) = 110% of the base
The diagram shows that the 10, increase is based on last year's value which is not known. It is not based on this year's value of $203,500. This year's value is last year's value plus 10, of last year's value.
Use the basic percent formula to solve for base in increase problems.
Substituting in the percent formula with part = $203,500 and rate = 110, results in the following.
Quick TIP
The common error in solving an increase problem is thinking that the base is given and that the solution can be found by solving for part.
Solving for B results in the following equation, which is solved for B.
So the value of the house last year was $185,000. Now check the answer.
$203,500 is 110, of $185,000.
Finding Base after Two Increases
Due to increased demand for a patented process that will help analyze the DNA of mice, Biotics Genome has increased production of testing kits by 20, per year for each of the two past years. This year's production is 93,600 kits. Find the number of kits produced two years ago.
SOLUTION
The two 20, increases cannot be added together since the two increases act on different bases. Solve this problem in two steps, one for each of the 20, increases. First, use a diagram to find last year's production of DNA kits.
Last year's production plus 20% of last year's production equals this year's production. So, part ( P ) = 93,600 and rate ( R ) = 120%
The number of DNA testing kits produced last year was 78,000. Use this number and knowledge that the sales volume increased 20, from 2 years ago to last year to find production 2 years ago.
Quick TIP
It is important to realize that the two 20, increases cannot be added together to equal one increase of 40,. Each 20, increase is calculated on a different base.
Production two years ago added to 20, of that production equals last year's production. So, part ( P ) = 78,000 and rate ( R ) = 120% once again.
The calculator solution to this example is done by dividing in a series.
Check the answer.

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Q227 Q227 Q227

Solve for base in the following. Round to the nearest cent. (Hint: Original ? Decrease = New Value.) (See Example.)
Using a Diagram to Understand a Decrease Problem
After Nike deducted 10, from the price of a pair of competition running shoes, Katie Small paid $135. What was the original price of the shoes?
SOLUTION
The phrase "deducted 10, from the price" indicates it is a decrease problem. The original price is the unknown.
Quick TIP
The common error made in decrease problems is thinking that the reduced price is the base. The original price is actually the base.
Ten percent was deducted from the original price. The resulting price paid of $135 is 90, of the original price. So, part ( P ) = $135 and rate ( R ) = 90%
Check the answer.

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Q228 Q228 Q228

Solve for base in the following. Round to the nearest cent. (Hint: Original ? Decrease = New Value.) (See Example.)
Using a Diagram to Understand a Decrease Problem
After Nike deducted 10, from the price of a pair of competition running shoes, Katie Small paid $135. What was the original price of the shoes?
SOLUTION
The phrase "deducted 10, from the price" indicates it is a decrease problem. The original price is the unknown.
Quick TIP
The common error made in decrease problems is thinking that the reduced price is the base. The original price is actually the base.
Ten percent was deducted from the original price. The resulting price paid of $135 is 90, of the original price. So, part ( P ) = $135 and rate ( R ) = 90%
Check the answer.

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Essay

Q229 Q229 Q229

Solve for base in the following. Round to the nearest cent. (Hint: Original ? Decrease = New Value.) (See Example.)
Using a Diagram to Understand a Decrease Problem
After Nike deducted 10, from the price of a pair of competition running shoes, Katie Small paid $135. What was the original price of the shoes?
SOLUTION
The phrase "deducted 10, from the price" indicates it is a decrease problem. The original price is the unknown.
Quick TIP
The common error made in decrease problems is thinking that the reduced price is the base. The original price is actually the base.
Ten percent was deducted from the original price. The resulting price paid of $135 is 90, of the original price. So, part ( P ) = $135 and rate ( R ) = 90%
Check the answer.

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Q230 Q230 Q230

Certain words or word phrases help to identify an increase problem. Discuss how you identify an increase problem. (See Objective.)
OBJECTIVE Learn to identify an increase or decrease problem. Businesses commonly look at how amounts change, either up or down. For example, a manager might need to know the percent by which sales have increased or costs have decreased. A consumer might want to know the percent by which the price of an item has changed. Identify these increase and decrease problems as follows.

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Q231 Q231 Q231

Certain words or word phrases help to identify a decrease problem. Discuss how you identify a decrease problem. (See Objective.)
OBJECTIVE Learn to identify an increase or decrease problem. Businesses commonly look at how amounts change, either up or down. For example, a manager might need to know the percent by which sales have increased or costs have decreased. A consumer might want to know the percent by which the price of an item has changed. Identify these increase and decrease problems as follows.

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Q232 Q232 Q232

Solve the following application problem. Read problem carefully to decide which are increase or decrease problem, and work accordingly. (See Examples.)
Using a Diagram to Understand an Increase Problem
The value of a home sold by Tom Dugally this year is $203,500, which is 10, more than last year's value. Find the value of the home last year.
SOLUTION
CASE IN POINT The phrase "10% more than last year's value," tells us that last year's value is the base and that it is the unknown. The figure below shows last year's value as 100% and this year's value which is:
(the base + 10% more than last year's value) = 110% of the base
The diagram shows that the 10, increase is based on last year's value which is not known. It is not based on this year's value of $203,500. This year's value is last year's value plus 10, of last year's value.
Use the basic percent formula to solve for base in increase problems.
Substituting in the percent formula with part = $203,500 and rate = 110, results in the following.
Quick TIP
The common error in solving an increase problem is thinking that the base is given and that the solution can be found by solving for part.
Solving for B results in the following equation, which is solved for B.
So the value of the house last year was $185,000. Now check the answer.
$203,500 is 110, of $185,000.
Finding Base after Two Increases
Due to increased demand for a patented process that will help analyze the DNA of mice, Biotics Genome has increased production of testing kits by 20, per year for each of the two past years. This year's production is 93,600 kits. Find the number of kits produced two years ago.
SOLUTION
The two 20, increases cannot be added together since the two increases act on different bases. Solve this problem in two steps, one for each of the 20, increases. First, use a diagram to find last year's production of DNA kits.
Last year's production plus 20% of last year's production equals this year's production. So, part ( P ) = 93,600 and rate ( R ) = 120%
The number of DNA testing kits produced last year was 78,000. Use this number and knowledge that the sales volume increased 20, from 2 years ago to last year to find production 2 years ago.
Quick TIP
It is important to realize that the two 20, increases cannot be added together to equal one increase of 40,. Each 20, increase is calculated on a different base.
Production two years ago added to 20, of that production equals last year's production. So, part ( P ) = 78,000 and rate ( R ) = 120% once again.
The calculator solution to this example is done by dividing in a series.
Check the answer.
Using a Diagram to Understand a Decrease Problem
After Nike deducted 10, from the price of a pair of competition running shoes, Katie Small paid $135. What was the original price of the shoes?
SOLUTION
The phrase "deducted 10, from the price" indicates it is a decrease problem. The original price is the unknown.
Quick TIP
The common error made in decrease problems is thinking that the reduced price is the base. The original price is actually the base.
Ten percent was deducted from the original price. The resulting price paid of $135 is 90, of the original price. So, part ( P ) = $135 and rate ( R ) = 90%
Check the answer.
FAMILY RESTAURANT Santiago Rowland owns a small restaurant and charges 8% sales tax on all orders. At the end of the day he has a total of $1026 including the sales and sales tax in his cash register. (a) What were his sales not including sales tax? ________________ (b) Find the amount that is sales tax. ________________

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Q233 Q233 Q233

Solve the following application problem. Read problem carefully to decide which are increase or decrease problem, and work accordingly. (See Examples.)
Using a Diagram to Understand an Increase Problem
The value of a home sold by Tom Dugally this year is $203,500, which is 10, more than last year's value. Find the value of the home last year.
SOLUTION
CASE IN POINT The phrase "10% more than last year's value," tells us that last year's value is the base and that it is the unknown. The figure below shows last year's value as 100% and this year's value which is:
(the base + 10% more than last year's value) = 110% of the base
The diagram shows that the 10, increase is based on last year's value which is not known. It is not based on this year's value of $203,500. This year's value is last year's value plus 10, of last year's value.
Use the basic percent formula to solve for base in increase problems.
Substituting in the percent formula with part = $203,500 and rate = 110, results in the following.
Quick TIP
The common error in solving an increase problem is thinking that the base is given and that the solution can be found by solving for part.
Solving for B results in the following equation, which is solved for B.
So the value of the house last year was $185,000. Now check the answer.
$203,500 is 110, of $185,000.
Finding Base after Two Increases
Due to increased demand for a patented process that will help analyze the DNA of mice, Biotics Genome has increased production of testing kits by 20, per year for each of the two past years. This year's production is 93,600 kits. Find the number of kits produced two years ago.
SOLUTION
The two 20, increases cannot be added together since the two increases act on different bases. Solve this problem in two steps, one for each of the 20, increases. First, use a diagram to find last year's production of DNA kits.
Last year's production plus 20% of last year's production equals this year's production. So, part ( P ) = 93,600 and rate ( R ) = 120%
The number of DNA testing kits produced last year was 78,000. Use this number and knowledge that the sales volume increased 20, from 2 years ago to last year to find production 2 years ago.
Quick TIP
It is important to realize that the two 20, increases cannot be added together to equal one increase of 40,. Each 20, increase is calculated on a different base.
Production two years ago added to 20, of that production equals last year's production. So, part ( P ) = 78,000 and rate ( R ) = 120% once again.
The calculator solution to this example is done by dividing in a series.
Check the answer.
Using a Diagram to Understand a Decrease Problem
After Nike deducted 10, from the price of a pair of competition running shoes, Katie Small paid $135. What was the original price of the shoes?
SOLUTION
The phrase "deducted 10, from the price" indicates it is a decrease problem. The original price is the unknown.
Quick TIP
The common error made in decrease problems is thinking that the reduced price is the base. The original price is actually the base.
Ten percent was deducted from the original price. The resulting price paid of $135 is 90, of the original price. So, part ( P ) = $135 and rate ( R ) = 90%
Check the answer.
SALES TAX Tom Dugally of Century 21 Real Estate purchased a new GPS for $317.37, including sales tax. Find (a) the price of the GPS and ________________ (b) the amount of sales tax. ________________

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Q234 Q234 Q234

Solve the following application problem. Read problem carefully to decide which are increase or decrease problem, and work accordingly. (See Examples.)
Using a Diagram to Understand an Increase Problem
The value of a home sold by Tom Dugally this year is $203,500, which is 10, more than last year's value. Find the value of the home last year.
SOLUTION
CASE IN POINT The phrase "10% more than last year's value," tells us that last year's value is the base and that it is the unknown. The figure below shows last year's value as 100% and this year's value which is:
(the base + 10% more than last year's value) = 110% of the base
The diagram shows that the 10, increase is based on last year's value which is not known. It is not based on this year's value of $203,500. This year's value is last year's value plus 10, of last year's value.
Use the basic percent formula to solve for base in increase problems.
Substituting in the percent formula with part = $203,500 and rate = 110, results in the following.
Quick TIP
The common error in solving an increase problem is thinking that the base is given and that the solution can be found by solving for part.
Solving for B results in the following equation, which is solved for B.
So the value of the house last year was $185,000. Now check the answer.
$203,500 is 110, of $185,000.
Finding Base after Two Increases
Due to increased demand for a patented process that will help analyze the DNA of mice, Biotics Genome has increased production of testing kits by 20, per year for each of the two past years. This year's production is 93,600 kits. Find the number of kits produced two years ago.
SOLUTION
The two 20, increases cannot be added together since the two increases act on different bases. Solve this problem in two steps, one for each of the 20, increases. First, use a diagram to find last year's production of DNA kits.
Last year's production plus 20% of last year's production equals this year's production. So, part ( P ) = 93,600 and rate ( R ) = 120%
The number of DNA testing kits produced last year was 78,000. Use this number and knowledge that the sales volume increased 20, from 2 years ago to last year to find production 2 years ago.
Quick TIP
It is important to realize that the two 20, increases cannot be added together to equal one increase of 40,. Each 20, increase is calculated on a different base.
Production two years ago added to 20, of that production equals last year's production. So, part ( P ) = 78,000 and rate ( R ) = 120% once again.
The calculator solution to this example is done by dividing in a series.
Check the answer.
Using a Diagram to Understand a Decrease Problem
After Nike deducted 10, from the price of a pair of competition running shoes, Katie Small paid $135. What was the original price of the shoes?
SOLUTION
The phrase "deducted 10, from the price" indicates it is a decrease problem. The original price is the unknown.
Quick TIP
The common error made in decrease problems is thinking that the reduced price is the base. The original price is actually the base.
Ten percent was deducted from the original price. The resulting price paid of $135 is 90, of the original price. So, part ( P ) = $135 and rate ( R ) = 90%
Check the answer.
EATING OUT There are 177,000 fast-food restaurants in the United States. If fast food represents 21% of the total restaurants, find the total number of restaurants. Round to the nearest whole number. ________________

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Q235 Q235 Q235

Solve the following application problem. Read problem carefully to decide which are increase or decrease problem, and work accordingly. (See Examples.)
Using a Diagram to Understand an Increase Problem
The value of a home sold by Tom Dugally this year is $203,500, which is 10, more than last year's value. Find the value of the home last year.
SOLUTION
CASE IN POINT The phrase "10% more than last year's value," tells us that last year's value is the base and that it is the unknown. The figure below shows last year's value as 100% and this year's value which is:
(the base + 10% more than last year's value) = 110% of the base
The diagram shows that the 10, increase is based on last year's value which is not known. It is not based on this year's value of $203,500. This year's value is last year's value plus 10, of last year's value.
Use the basic percent formula to solve for base in increase problems.
Substituting in the percent formula with part = $203,500 and rate = 110, results in the following.
Quick TIP
The common error in solving an increase problem is thinking that the base is given and that the solution can be found by solving for part.
Solving for B results in the following equation, which is solved for B.
So the value of the house last year was $185,000. Now check the answer.
$203,500 is 110, of $185,000.
Finding Base after Two Increases
Due to increased demand for a patented process that will help analyze the DNA of mice, Biotics Genome has increased production of testing kits by 20, per year for each of the two past years. This year's production is 93,600 kits. Find the number of kits produced two years ago.
SOLUTION
The two 20, increases cannot be added together since the two increases act on different bases. Solve this problem in two steps, one for each of the 20, increases. First, use a diagram to find last year's production of DNA kits.
Last year's production plus 20% of last year's production equals this year's production. So, part ( P ) = 93,600 and rate ( R ) = 120%
The number of DNA testing kits produced last year was 78,000. Use this number and knowledge that the sales volume increased 20, from 2 years ago to last year to find production 2 years ago.
Quick TIP
It is important to realize that the two 20, increases cannot be added together to equal one increase of 40,. Each 20, increase is calculated on a different base.
Production two years ago added to 20, of that production equals last year's production. So, part ( P ) = 78,000 and rate ( R ) = 120% once again.
The calculator solution to this example is done by dividing in a series.
Check the answer.
Using a Diagram to Understand a Decrease Problem
After Nike deducted 10, from the price of a pair of competition running shoes, Katie Small paid $135. What was the original price of the shoes?
SOLUTION
The phrase "deducted 10, from the price" indicates it is a decrease problem. The original price is the unknown.
Quick TIP
The common error made in decrease problems is thinking that the reduced price is the base. The original price is actually the base.
Ten percent was deducted from the original price. The resulting price paid of $135 is 90, of the original price. So, part ( P ) = $135 and rate ( R ) = 90%
Check the answer.
ANTILOCK BRAKES In a recent test of an automobile antilock braking system (ABS) on wet pavement, the stopping distance was 114 feet. If this was 28.75% less than the distance needed to stop the same automobile without the ABS, find the distance needed to stop without the ABS. ________________

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Q236 Q236 Q236

Solve the following application problem. Read problem carefully to decide which are increase or decrease problem, and work accordingly. (See Examples.)
Using a Diagram to Understand an Increase Problem
The value of a home sold by Tom Dugally this year is $203,500, which is 10, more than last year's value. Find the value of the home last year.
SOLUTION
CASE IN POINT The phrase "10% more than last year's value," tells us that last year's value is the base and that it is the unknown. The figure below shows last year's value as 100% and this year's value which is:
(the base + 10% more than last year's value) = 110% of the base
The diagram shows that the 10, increase is based on last year's value which is not known. It is not based on this year's value of $203,500. This year's value is last year's value plus 10, of last year's value.
Use the basic percent formula to solve for base in increase problems.
Substituting in the percent formula with part = $203,500 and rate = 110, results in the following.
Quick TIP
The common error in solving an increase problem is thinking that the base is given and that the solution can be found by solving for part.
Solving for B results in the following equation, which is solved for B.
So the value of the house last year was $185,000. Now check the answer.
$203,500 is 110, of $185,000.
Finding Base after Two Increases
Due to increased demand for a patented process that will help analyze the DNA of mice, Biotics Genome has increased production of testing kits by 20, per year for each of the two past years. This year's production is 93,600 kits. Find the number of kits produced two years ago.
SOLUTION
The two 20, increases cannot be added together since the two increases act on different bases. Solve this problem in two steps, one for each of the 20, increases. First, use a diagram to find last year's production of DNA kits.
Last year's production plus 20% of last year's production equals this year's production. So, part ( P ) = 93,600 and rate ( R ) = 120%
The number of DNA testing kits produced last year was 78,000. Use this number and knowledge that the sales volume increased 20, from 2 years ago to last year to find production 2 years ago.
Quick TIP
It is important to realize that the two 20, increases cannot be added together to equal one increase of 40,. Each 20, increase is calculated on a different base.
Production two years ago added to 20, of that production equals last year's production. So, part ( P ) = 78,000 and rate ( R ) = 120% once again.
The calculator solution to this example is done by dividing in a series.
Check the answer.
Using a Diagram to Understand a Decrease Problem
After Nike deducted 10, from the price of a pair of competition running shoes, Katie Small paid $135. What was the original price of the shoes?
SOLUTION
The phrase "deducted 10, from the price" indicates it is a decrease problem. The original price is the unknown.
Quick TIP
The common error made in decrease problems is thinking that the reduced price is the base. The original price is actually the base.
Ten percent was deducted from the original price. The resulting price paid of $135 is 90, of the original price. So, part ( P ) = $135 and rate ( R ) = 90%
Check the answer.
FOOD INFLATION Food inflation refers to the annual rate of increase in food prices. Food inflation in one South American country was 10% for each of the past two years. Estimate the cost, two years ago, of a basket of food that costs $80 today. Round each calculation to the nearest cent before proceeding. ________________

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Q237 Q237 Q237

Solve the following application problem. Read problem carefully to decide which are increase or decrease problem, and work accordingly. (See Examples.)
Using a Diagram to Understand an Increase Problem
The value of a home sold by Tom Dugally this year is $203,500, which is 10, more than last year's value. Find the value of the home last year.
SOLUTION
CASE IN POINT The phrase "10% more than last year's value," tells us that last year's value is the base and that it is the unknown. The figure below shows last year's value as 100% and this year's value which is:
(the base + 10% more than last year's value) = 110% of the base
The diagram shows that the 10, increase is based on last year's value which is not known. It is not based on this year's value of $203,500. This year's value is last year's value plus 10, of last year's value.
Use the basic percent formula to solve for base in increase problems.
Substituting in the percent formula with part = $203,500 and rate = 110, results in the following.
Quick TIP
The common error in solving an increase problem is thinking that the base is given and that the solution can be found by solving for part.
Solving for B results in the following equation, which is solved for B.
So the value of the house last year was $185,000. Now check the answer.
$203,500 is 110, of $185,000.
Finding Base after Two Increases
Due to increased demand for a patented process that will help analyze the DNA of mice, Biotics Genome has increased production of testing kits by 20, per year for each of the two past years. This year's production is 93,600 kits. Find the number of kits produced two years ago.
SOLUTION
The two 20, increases cannot be added together since the two increases act on different bases. Solve this problem in two steps, one for each of the 20, increases. First, use a diagram to find last year's production of DNA kits.
Last year's production plus 20% of last year's production equals this year's production. So, part ( P ) = 93,600 and rate ( R ) = 120%
The number of DNA testing kits produced last year was 78,000. Use this number and knowledge that the sales volume increased 20, from 2 years ago to last year to find production 2 years ago.
Quick TIP
It is important to realize that the two 20, increases cannot be added together to equal one increase of 40,. Each 20, increase is calculated on a different base.
Production two years ago added to 20, of that production equals last year's production. So, part ( P ) = 78,000 and rate ( R ) = 120% once again.
The calculator solution to this example is done by dividing in a series.
Check the answer.
Using a Diagram to Understand a Decrease Problem
After Nike deducted 10, from the price of a pair of competition running shoes, Katie Small paid $135. What was the original price of the shoes?
SOLUTION
The phrase "deducted 10, from the price" indicates it is a decrease problem. The original price is the unknown.
Quick TIP
The common error made in decrease problems is thinking that the reduced price is the base. The original price is actually the base.
Ten percent was deducted from the original price. The resulting price paid of $135 is 90, of the original price. So, part ( P ) = $135 and rate ( R ) = 90%
Check the answer.
DELI SALES Sara Rasic, owner of Sara's Deli, says that her sales have increased exactly 20% per year for the last two years. Her sales this year are $170,035.20. Find her sales two years ago. ________________

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Q238 Q238 Q238

Solve the following application problem. Read problem carefully to decide which are increase or decrease problem, and work accordingly. (See Examples.)
Using a Diagram to Understand an Increase Problem
The value of a home sold by Tom Dugally this year is $203,500, which is 10, more than last year's value. Find the value of the home last year.
SOLUTION
CASE IN POINT The phrase "10% more than last year's value," tells us that last year's value is the base and that it is the unknown. The figure below shows last year's value as 100% and this year's value which is:
(the base + 10% more than last year's value) = 110% of the base
The diagram shows that the 10, increase is based on last year's value which is not known. It is not based on this year's value of $203,500. This year's value is last year's value plus 10, of last year's value.
Use the basic percent formula to solve for base in increase problems.
Substituting in the percent formula with part = $203,500 and rate = 110, results in the following.
Quick TIP
The common error in solving an increase problem is thinking that the base is given and that the solution can be found by solving for part.
Solving for B results in the following equation, which is solved for B.
So the value of the house last year was $185,000. Now check the answer.
$203,500 is 110, of $185,000.
Finding Base after Two Increases
Due to increased demand for a patented process that will help analyze the DNA of mice, Biotics Genome has increased production of testing kits by 20, per year for each of the two past years. This year's production is 93,600 kits. Find the number of kits produced two years ago.
SOLUTION
The two 20, increases cannot be added together since the two increases act on different bases. Solve this problem in two steps, one for each of the 20, increases. First, use a diagram to find last year's production of DNA kits.
Last year's production plus 20% of last year's production equals this year's production. So, part ( P ) = 93,600 and rate ( R ) = 120%
The number of DNA testing kits produced last year was 78,000. Use this number and knowledge that the sales volume increased 20, from 2 years ago to last year to find production 2 years ago.
Quick TIP
It is important to realize that the two 20, increases cannot be added together to equal one increase of 40,. Each 20, increase is calculated on a different base.
Production two years ago added to 20, of that production equals last year's production. So, part ( P ) = 78,000 and rate ( R ) = 120% once again.
The calculator solution to this example is done by dividing in a series.
Check the answer.
Using a Diagram to Understand a Decrease Problem
After Nike deducted 10, from the price of a pair of competition running shoes, Katie Small paid $135. What was the original price of the shoes?
SOLUTION
The phrase "deducted 10, from the price" indicates it is a decrease problem. The original price is the unknown.
Quick TIP
The common error made in decrease problems is thinking that the reduced price is the base. The original price is actually the base.
Ten percent was deducted from the original price. The resulting price paid of $135 is 90, of the original price. So, part ( P ) = $135 and rate ( R ) = 90%
Check the answer.
DVD RENTALS Netflix, a DVD-rental company, has 26,000,000 subscribers, an increase of 220% from five years ago. Find the number of subscribers five years ago. Round to the nearest whole number. ________________

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Q239 Q239 Q239

Solve the following application problem. Read problem carefully to decide which are increase or decrease problem, and work accordingly. (See Examples.)
Using a Diagram to Understand an Increase Problem
The value of a home sold by Tom Dugally this year is $203,500, which is 10, more than last year's value. Find the value of the home last year.
SOLUTION
CASE IN POINT The phrase "10% more than last year's value," tells us that last year's value is the base and that it is the unknown. The figure below shows last year's value as 100% and this year's value which is:
(the base + 10% more than last year's value) = 110% of the base
The diagram shows that the 10, increase is based on last year's value which is not known. It is not based on this year's value of $203,500. This year's value is last year's value plus 10, of last year's value.
Use the basic percent formula to solve for base in increase problems.
Substituting in the percent formula with part = $203,500 and rate = 110, results in the following.
Quick TIP
The common error in solving an increase problem is thinking that the base is given and that the solution can be found by solving for part.
Solving for B results in the following equation, which is solved for B.
So the value of the house last year was $185,000. Now check the answer.
$203,500 is 110, of $185,000.
Finding Base after Two Increases
Due to increased demand for a patented process that will help analyze the DNA of mice, Biotics Genome has increased production of testing kits by 20, per year for each of the two past years. This year's production is 93,600 kits. Find the number of kits produced two years ago.
SOLUTION
The two 20, increases cannot be added together since the two increases act on different bases. Solve this problem in two steps, one for each of the 20, increases. First, use a diagram to find last year's production of DNA kits.
Last year's production plus 20% of last year's production equals this year's production. So, part ( P ) = 93,600 and rate ( R ) = 120%
The number of DNA testing kits produced last year was 78,000. Use this number and knowledge that the sales volume increased 20, from 2 years ago to last year to find production 2 years ago.
Quick TIP
It is important to realize that the two 20, increases cannot be added together to equal one increase of 40,. Each 20, increase is calculated on a different base.
Production two years ago added to 20, of that production equals last year's production. So, part ( P ) = 78,000 and rate ( R ) = 120% once again.
The calculator solution to this example is done by dividing in a series.
Check the answer.
Using a Diagram to Understand a Decrease Problem
After Nike deducted 10, from the price of a pair of competition running shoes, Katie Small paid $135. What was the original price of the shoes?
SOLUTION
The phrase "deducted 10, from the price" indicates it is a decrease problem. The original price is the unknown.
Quick TIP
The common error made in decrease problems is thinking that the reduced price is the base. The original price is actually the base.
Ten percent was deducted from the original price. The resulting price paid of $135 is 90, of the original price. So, part ( P ) = $135 and rate ( R ) = 90%
Check the answer.
FARMLAND PRICES The value of Iowa farmland increased 4.3% this year to a statewide average value of $7003 per acre. How much per acre did Iowa farmland increase this year? Round to the nearest dollar. ________________

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Essay

Q240 Q240 Q240

Solve the following application problem. Read problem carefully to decide which are increase or decrease problem, and work accordingly. (See Examples.)
Using a Diagram to Understand an Increase Problem
The value of a home sold by Tom Dugally this year is $203,500, which is 10, more than last year's value. Find the value of the home last year.
SOLUTION
CASE IN POINT The phrase "10% more than last year's value," tells us that last year's value is the base and that it is the unknown. The figure below shows last year's value as 100% and this year's value which is:
(the base + 10% more than last year's value) = 110% of the base
The diagram shows that the 10, increase is based on last year's value which is not known. It is not based on this year's value of $203,500. This year's value is last year's value plus 10, of last year's value.
Use the basic percent formula to solve for base in increase problems.
Substituting in the percent formula with part = $203,500 and rate = 110, results in the following.
Quick TIP
The common error in solving an increase problem is thinking that the base is given and that the solution can be found by solving for part.
Solving for B results in the following equation, which is solved for B.
So the value of the house last year was $185,000. Now check the answer.
$203,500 is 110, of $185,000.
Finding Base after Two Increases
Due to increased demand for a patented process that will help analyze the DNA of mice, Biotics Genome has increased production of testing kits by 20, per year for each of the two past years. This year's production is 93,600 kits. Find the number of kits produced two years ago.
SOLUTION
The two 20, increases cannot be added together since the two increases act on different bases. Solve this problem in two steps, one for each of the 20, increases. First, use a diagram to find last year's production of DNA kits.
Last year's production plus 20% of last year's production equals this year's production. So, part ( P ) = 93,600 and rate ( R ) = 120%
The number of DNA testing kits produced last year was 78,000. Use this number and knowledge that the sales volume increased 20, from 2 years ago to last year to find production 2 years ago.
Quick TIP
It is important to realize that the two 20, increases cannot be added together to equal one increase of 40,. Each 20, increase is calculated on a different base.
Production two years ago added to 20, of that production equals last year's production. So, part ( P ) = 78,000 and rate ( R ) = 120% once again.
The calculator solution to this example is done by dividing in a series.
Check the answer.
Using a Diagram to Understand a Decrease Problem
After Nike deducted 10, from the price of a pair of competition running shoes, Katie Small paid $135. What was the original price of the shoes?
SOLUTION
The phrase "deducted 10, from the price" indicates it is a decrease problem. The original price is the unknown.
Quick TIP
The common error made in decrease problems is thinking that the reduced price is the base. The original price is actually the base.
Ten percent was deducted from the original price. The resulting price paid of $135 is 90, of the original price. So, part ( P ) = $135 and rate ( R ) = 90%
Check the answer.
AUTO SALES Automobile sales in Asia were 23.4 million this year, a 9.4% increase over last year. Find the number of auto sales in Asia last year, rounded to the nearest tenth of a million. ________________

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Essay

Q241 Q241 Q241

Solve the following application problem. Read problem carefully to decide which are increase or decrease problem, and work accordingly. (See Examples.)
Using a Diagram to Understand an Increase Problem
The value of a home sold by Tom Dugally this year is $203,500, which is 10, more than last year's value. Find the value of the home last year.
SOLUTION
CASE IN POINT The phrase "10% more than last year's value," tells us that last year's value is the base and that it is the unknown. The figure below shows last year's value as 100% and this year's value which is:
(the base + 10% more than last year's value) = 110% of the base
The diagram shows that the 10, increase is based on last year's value which is not known. It is not based on this year's value of $203,500. This year's value is last year's value plus 10, of last year's value.
Use the basic percent formula to solve for base in increase problems.
Substituting in the percent formula with part = $203,500 and rate = 110, results in the following.
Quick TIP
The common error in solving an increase problem is thinking that the base is given and that the solution can be found by solving for part.
Solving for B results in the following equation, which is solved for B.
So the value of the house last year was $185,000. Now check the answer.
$203,500 is 110, of $185,000.
Finding Base after Two Increases
Due to increased demand for a patented process that will help analyze the DNA of mice, Biotics Genome has increased production of testing kits by 20, per year for each of the two past years. This year's production is 93,600 kits. Find the number of kits produced two years ago.
SOLUTION
The two 20, increases cannot be added together since the two increases act on different bases. Solve this problem in two steps, one for each of the 20, increases. First, use a diagram to find last year's production of DNA kits.
Last year's production plus 20% of last year's production equals this year's production. So, part ( P ) = 93,600 and rate ( R ) = 120%
The number of DNA testing kits produced last year was 78,000. Use this number and knowledge that the sales volume increased 20, from 2 years ago to last year to find production 2 years ago.
Quick TIP
It is important to realize that the two 20, increases cannot be added together to equal one increase of 40,. Each 20, increase is calculated on a different base.
Production two years ago added to 20, of that production equals last year's production. So, part ( P ) = 78,000 and rate ( R ) = 120% once again.
The calculator solution to this example is done by dividing in a series.
Check the answer.
Using a Diagram to Understand a Decrease Problem
After Nike deducted 10, from the price of a pair of competition running shoes, Katie Small paid $135. What was the original price of the shoes?
SOLUTION
The phrase "deducted 10, from the price" indicates it is a decrease problem. The original price is the unknown.
Quick TIP
The common error made in decrease problems is thinking that the reduced price is the base. The original price is actually the base.
Ten percent was deducted from the original price. The resulting price paid of $135 is 90, of the original price. So, part ( P ) = $135 and rate ( R ) = 90%
Check the answer.
FACEBOOK USERS The number of Facebook users increased 10% in the past six months to 1 billion. Estimate the number of users six months ago to the nearest million. ________________

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Essay

Q242 Q242 Q242

Solve the following application problem. Read problem carefully to decide which are increase or decrease problem, and work accordingly. (See Examples.)
Using a Diagram to Understand an Increase Problem
The value of a home sold by Tom Dugally this year is $203,500, which is 10, more than last year's value. Find the value of the home last year.
SOLUTION
CASE IN POINT The phrase "10% more than last year's value," tells us that last year's value is the base and that it is the unknown. The figure below shows last year's value as 100% and this year's value which is:
(the base + 10% more than last year's value) = 110% of the base
The diagram shows that the 10, increase is based on last year's value which is not known. It is not based on this year's value of $203,500. This year's value is last year's value plus 10, of last year's value.
Use the basic percent formula to solve for base in increase problems.
Substituting in the percent formula with part = $203,500 and rate = 110, results in the following.
Quick TIP
The common error in solving an increase problem is thinking that the base is given and that the solution can be found by solving for part.
Solving for B results in the following equation, which is solved for B.
So the value of the house last year was $185,000. Now check the answer.
$203,500 is 110, of $185,000.
Finding Base after Two Increases
Due to increased demand for a patented process that will help analyze the DNA of mice, Biotics Genome has increased production of testing kits by 20, per year for each of the two past years. This year's production is 93,600 kits. Find the number of kits produced two years ago.
SOLUTION
The two 20, increases cannot be added together since the two increases act on different bases. Solve this problem in two steps, one for each of the 20, increases. First, use a diagram to find last year's production of DNA kits.
Last year's production plus 20% of last year's production equals this year's production. So, part ( P ) = 93,600 and rate ( R ) = 120%
The number of DNA testing kits produced last year was 78,000. Use this number and knowledge that the sales volume increased 20, from 2 years ago to last year to find production 2 years ago.
Quick TIP
It is important to realize that the two 20, increases cannot be added together to equal one increase of 40,. Each 20, increase is calculated on a different base.
Production two years ago added to 20, of that production equals last year's production. So, part ( P ) = 78,000 and rate ( R ) = 120% once again.
The calculator solution to this example is done by dividing in a series.
Check the answer.
Using a Diagram to Understand a Decrease Problem
After Nike deducted 10, from the price of a pair of competition running shoes, Katie Small paid $135. What was the original price of the shoes?
SOLUTION
The phrase "deducted 10, from the price" indicates it is a decrease problem. The original price is the unknown.
Quick TIP
The common error made in decrease problems is thinking that the reduced price is the base. The original price is actually the base.
Ten percent was deducted from the original price. The resulting price paid of $135 is 90, of the original price. So, part ( P ) = $135 and rate ( R ) = 90%
Check the answer.
SURPLUS-EQUIPMENT AUCTION In a three-day public auction of Jackson County's surplus equipment, the first day brought $5750 in sales and the second day brought $4186 in sales, with 28% of the original equipment left to be sold on the third day. Find the value of the remaining surplus equipment. ________________

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Essay

Q243 Q243 Q243

Solve the following application problem. Read problem carefully to decide which are increase or decrease problem, and work accordingly. (See Examples.)
Using a Diagram to Understand an Increase Problem
The value of a home sold by Tom Dugally this year is $203,500, which is 10, more than last year's value. Find the value of the home last year.
SOLUTION
CASE IN POINT The phrase "10% more than last year's value," tells us that last year's value is the base and that it is the unknown. The figure below shows last year's value as 100% and this year's value which is:
(the base + 10% more than last year's value) = 110% of the base
The diagram shows that the 10, increase is based on last year's value which is not known. It is not based on this year's value of $203,500. This year's value is last year's value plus 10, of last year's value.
Use the basic percent formula to solve for base in increase problems.
Substituting in the percent formula with part = $203,500 and rate = 110, results in the following.
Quick TIP
The common error in solving an increase problem is thinking that the base is given and that the solution can be found by solving for part.
Solving for B results in the following equation, which is solved for B.
So the value of the house last year was $185,000. Now check the answer.
$203,500 is 110, of $185,000.
Finding Base after Two Increases
Due to increased demand for a patented process that will help analyze the DNA of mice, Biotics Genome has increased production of testing kits by 20, per year for each of the two past years. This year's production is 93,600 kits. Find the number of kits produced two years ago.
SOLUTION
The two 20, increases cannot be added together since the two increases act on different bases. Solve this problem in two steps, one for each of the 20, increases. First, use a diagram to find last year's production of DNA kits.