Question 1

Determine which is the better buy.
-6 pencils for $\$ 0.66$ or 11 pencils at $\$ 0.99$

Accepted Answer

To determine the better buy, calculate the price per pencil for each option. For 6 pencils at $0.66, the price per pencil is $0.11. For 11 pencils at $0.99, the price per pencil is approximately $0.09. Therefore, 11 pencils at $0.99 is the better buy because the cost per pencil is lower.

Question 2

Determine which is the better buy.
-A package of 5 bars of soap for $\$ 2.55$ or a package of 8 bars of soap for $\$ 2.48$

Accepted Answer

To determine the better buy, calculate the price per bar for each option. For the 5 bars at $2.55, the price per bar is $2.55 / 5 = $0.51. For the 8 bars at $2.48, the price per bar is $2.48 / 8 = $0.31. The 8 bars of soap offer a lower price per bar, making it the better buy.

Question 3

Determine which is the better buy.
-A package of 6 bars of soap for $\$ 2.22$ or a package of 9 bars of soap for $\$ 4.14$

Accepted Answer

To determine the better buy, calculate the price per bar for each package. For the 6-bar package: $2.22 / 6 bars = $0.37 per bar. For the 9-bar package: $4.14 / 9 bars = $0.46 per bar. The 6-bar package offers a lower cost per bar, making it the better buy.

Question 4

Determine which is the better buy.
-A 6-pack of computer disks for $\$ 5.04$ or a 12 -pack of computer disks for $\$ 11.16$

Accepted Answer

The cost per disk in the 6-pack is $\$5.04/6 = \$0.84$ and in the 12-pack is $\$11.16/12 = \$0.93$. The 6-pack has a lower cost per disk, making it the better buy.

Question 5

Determine which is the better buy.
-A 7-pack of computer disks for $\$ 6.51$ or a 10 - pack of computer disks for $\$ 8.30$

Accepted Answer

To determine the better buy, calculate the price per disk for each option. For the 7-pack, the price per disk is $6.51 / 7 = $0.93. For the 10-pack, the price per disk is $8.30 / 10 = $0.83. The 10-pack offers a lower price per disk, making it the better buy.

Question 6

Determine which is the better buy.
-12 ounces of juice for $\$ 1.25,16$ ounces of juice for $\$ 1.49$, or 24 ounces of juice for $\$ 2.42$

Accepted Answer

To determine the better buy, calculate the price per ounce for each option: 12 ounces for $1.25 gives $0.104/ounce, 16 ounces for $1.49 gives $0.093/ounce, and 24 ounces for $2.42 gives $0.101/ounce. The 16-ounce option has the lowest cost per ounce.

Question 7

Determine which is the better buy.
-4 batteries for $\$ 3.52,10$ batteries for $\$ 8.55$, or 25 batteries for $\$ 20.61$

Accepted Answer

25 batteries for $20.61 is the best buy because it is the lowest cost per battery.

Question 8

Solve. Simplify if possible.
-In a three-point shooting contest, a basketball player attempted 20 shots and made 8 of them. What is the ratio of shots made to shots attempted?

Accepted Answer

The ratio of shots made to shots attempted is 8 made out of 20 attempted, which simplifies to $\frac{8}{20} = \frac{2}{5}$.

Question 9

Solve. Simplify if possible.
-Of a family's $\$ 752$ weekly income, $\$ 75$ usually goes toward groceries. What is the ratio of the amount spent on groceries to weekly income?

Accepted Answer

The ratio of the amount spent on groceries to weekly income is calculated by dividing the amount spent on groceries (\$75) by the total weekly income (\$752), which simplifies to $\frac{75}{752}$.

Question 10

Solve. Simplify if possible.
-At an advertising agency that employs 204 people, 79 employees receive 3 weeks of paid vacation each year. What is the ratio of those who receive 3 weeks of paid vacation to the total number of employees?

Accepted Answer

The ratio of employees receiving 3 weeks of paid vacation to the total number of employees is $\frac{79}{204}$.

Question 11

Solve. Simplify if possible.
-At an advertising agency that employs 272 people, 145 employees receive 3 weeks of paid vacation each year. Find the ratio of those who receive 3 weeks of paid vacation those whose paid vacation is not 3 weeks.

Accepted Answer

The number of employees who do not receive 3 weeks of paid vacation is 272 - 145 = 127. Therefore, the ratio of those who receive 3 weeks of paid vacation to those who do not is 145:127, which simplifies to $\frac{145}{127}$.

Question 12

Solve. Simplify if possible.
-A certain lake is 700 feet deep. A nearby lake is 800 feet deep. Write the ratio of the first lake's depth to the second lake's depth.

Accepted Answer

The ratio of the first lake's depth to the second lake's depth is $\frac{700}{800}$, which simplifies to $\frac{7}{8}$.

Question 13

Solve. Simplify if possible.
-Tuition at a certain college recently increased from $\$ 7000$ to $\$ 11,000$. Find the ratio of the increase in price to the original price.

Accepted Answer

The increase in price is $ \$11,000 - \$7,000 = \$4,000 $. The original price is \$7,000. Therefore, the ratio of the increase to the original price is $ \frac{4,000}{7,000} = \frac{4}{7} $.

Question 14

Solve. Simplify if possible.
-Find the ratio of the length of the longest side to the length of the shortest side and simplify.

$\begin{aligned}
& \mathrm{A}=0.9 \text { yard } \
& \mathrm{B}=6.3 \text { yards } \
& \mathrm{C}=0.9 \text { yard } \
& \mathrm{D}=6.3 \text { yards }
\end{aligned}$

Accepted Answer

The answer of Solve. Simplify if possible.
-Find the ratio of...

Question 15

Solve. Simplify if possible.
-Find the ratio of the length of the longest side to the length of the shortest side and simplify.

$\begin{aligned}
& A=0.05 \text { yard } \
& B=0.04 \text { yard } \
& C=0.05 \text { yard } \
& D=0.04 \text { yard }
\end{aligned}$

Accepted Answer

The answer of Solve. Simplify if possible.
-Find the ratio of...

Question 16

Solve. Simplify if possible.
-The following table shows the breakdown of the number of patients in two hospital units at a local city hospital. Is the ratio of nurses to patients in the post-operative unit higher or lower than the ratio of nurses to patients in the neonatal intensive care unit (NICU)?

Accepted Answer

The answer of Solve. Simplify if possible.
-The following table shows...

Question 17

Solve. Simplify if possible.
-The following bar graph deals with music groups that were popular in a certain country and the number of chart hits that they had in that country.

(i) Find the ratio of the number of chart hits for The Jax as compared to LPSynk. (ii) What is the ratio of the number of chart hits that FlyByNite had to that of Munchies?

Accepted Answer

The answer of Solve. Simplify if possible.
-The following bar graph...

Question 18

Provide an appropriate response.
-Stephen said that the ratio of his mortgage to the sales price of his house is 9 to 7. Is this reasonable? Explain your answer.

Accepted Answer

The answer of Provide an appropriate response.
-Stephen said that the...

Question 19

Provide an appropriate response.
-Is the best buy (lowest cost per unit) always the best value? Give an example when this is not true and explain why.

Accepted Answer

Examples will vary. Reasons why are more quality in the same size, spoilage, size, etc.

Question 20

Provide an appropriate response.
-Give two ratios that are equivalent to the ratio 2 to 21. Explain how you found them.

Accepted Answer

The answer of Provide an appropriate response.
-Give two ratios that...

Quiz 5: Ratio and Proportion

Determine which is the better buy. -6 pencils for $\$ 0.66$ or 11 pencils at $\$ 0.99$

Determine which is the better buy. -A package of 5 bars of soap for $\$ 2.55$ or a package of 8 bars of soap for $\$ 2.48$

Determine which is the better buy. -A package of 6 bars of soap for $\$ 2.22$ or a package of 9 bars of soap for $\$ 4.14$

Determine which is the better buy. -A 6-pack of computer disks for $\$ 5.04$ or a 12 -pack of computer disks for $\$ 11.16$

Determine which is the better buy. -A 7-pack of computer disks for $\$ 6.51$ or a 10 - pack of computer disks for $\$ 8.30$

Determine which is the better buy. -12 ounces of juice for $\$ 1.25,16$ ounces of juice for $\$ 1.49$ , or 24 ounces of juice for $\$ 2.42$

Determine which is the better buy. -4 batteries for $\$ 3.52,10$ batteries for $\$ 8.55$ , or 25 batteries for $\$ 20.61$

Solve. Simplify if possible. -In a three-point shooting contest, a basketball player attempted 20 shots and made 8 of them. What is the ratio of shots made to shots attempted?

Solve. Simplify if possible. -Of a family's $\$ 752$ weekly income, $\$ 75$ usually goes toward groceries. What is the ratio of the amount spent on groceries to weekly income?

Solve. Simplify if possible. -At an advertising agency that employs 204 people, 79 employees receive 3 weeks of paid vacation each year. What is the ratio of those who receive 3 weeks of paid vacation to the total number of employees?

Solve. Simplify if possible. -At an advertising agency that employs 272 people, 145 employees receive 3 weeks of paid vacation each year. Find the ratio of those who receive 3 weeks of paid vacation those whose paid vacation is not 3 weeks.

Solve. Simplify if possible. -A certain lake is 700 feet deep. A nearby lake is 800 feet deep. Write the ratio of the first lake's depth to the second lake's depth.

Solve. Simplify if possible. -Tuition at a certain college recently increased from $\$ 7000$ to $\$ 11,000$ . Find the ratio of the increase in price to the original price.

Provide an appropriate response. -Stephen said that the ratio of his mortgage to the sales price of his house is 9 to 7. Is this reasonable? Explain your answer.

Provide an appropriate response. -Is the best buy (lowest cost per unit) always the best value? Give an example when this is not true and explain why.

Provide an appropriate response. -Give two ratios that are equivalent to the ratio 2 to 21. Explain how you found them.

Quiz 5: Ratio and Proportion

Determine which is the better buy. -6 pencils for $0.66\$ 0.66$0.66 or 11 pencils at $0.99\$ 0.99$0.99

Determine which is the better buy. -A package of 5 bars of soap for $2.55\$ 2.55$2.55 or a package of 8 bars of soap for $2.48\$ 2.48$2.48

Determine which is the better buy. -A package of 6 bars of soap for $2.22\$ 2.22$2.22 or a package of 9 bars of soap for $4.14\$ 4.14$4.14

Determine which is the better buy. -A 6-pack of computer disks for $5.04\$ 5.04$5.04 or a 12 -pack of computer disks for $11.16\$ 11.16$11.16

Determine which is the better buy. -A 7-pack of computer disks for $6.51\$ 6.51$6.51 or a 10 - pack of computer disks for $8.30\$ 8.30$8.30

Determine which is the better buy. -12 ounces of juice for $1.25,16\$ 1.25,16$1.25,16 ounces of juice for $1.49\$ 1.49$1.49 , or 24 ounces of juice for $2.42\$ 2.42$2.42

Determine which is the better buy. -4 batteries for $3.52,10\$ 3.52,10$3.52,10 batteries for $8.55\$ 8.55$8.55 , or 25 batteries for $20.61\$ 20.61$20.61