# Quiz 5: Solving for the Unknown: a How to Approach to Solving Equations

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Q 10Q 10

When an equation uses addition, the variable can be solved by the opposite process: subtraction.

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Q 14Q 14

More than one unknown in a word problem can be represented in terms of the same variable assigned to first unknown.

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Q 17Q 17

A letter or a symbol that represents one or more numbers is a:
A)Variable
B)Equation
C)Known
D)Constant
E)None of these

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Q 18Q 18

An equation is:
A)A math expression of inequality
B)A math expression of constants
C)A math unknown
D)A math expression of equality
E)None of these

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Q 20Q 20

Jerry's age 10 years ago can be expressed as:
A)A - 10
B)A + 10
C)2A - 10
D)2A + 10
E)None of these

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Q 27Q 27

What number increased by 3,080 equals 5,082?
A)2,020
B)18,126
C)8,162
D)2,002
E)None of these

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Q 28Q 28

One-ninth of all sales at a local Subway are for cash. If cash sales for the week were $690, what were Subway's total sales?
A)$2,610
B)$22,600
C)$6,210
D)$2,611
E)None of these

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Q 29Q 29

One-eleventh of all sales at Joe's Diner are for cash. If cash sales for the week were $380, what were Joe's total sales?
A)$41,800
B)$4,180
C)$4,108
D)$41,808
E)None of these

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Q 30Q 30

Jane sells 8 times as many Volvos as Melissa. If the difference in their sales is 35, how many cars did Jane sell?
A)35
B)5
C)45
D)40
E)None of these

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Q 31Q 31

Lane is 10 times Mel's age. If the difference in their age is 27, how old is Mel?
A)3
B)4
C)30
D)26
E)None of these

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Q 32Q 32

Rick and Ranger sell Toyotas for Tom's Auto. Over the past year they sold 360 cars. Assuming Rick sells 5 times as many as Ranger, how many Toyotas did Ranger sell?
A)180
B)240
C)300
D)60
E)None of these

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Q 33Q 33

Mike and Bill sell cars for Jangle's Auto. Over the past year they sold 640 cars. Assuming Mike sells 3 times as many as Bill, how many cars did Mike sell?
A)480
B)160
C)180
D)500
E)None of these

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Q 34Q 34

Staples sells CDs ($2.00) and boxes of computer paper ($3). If total sales were $1,560 and customers bought 5 times as many CDs as boxes of computer paper, how many CDs were sold?
A)120
B)480
C)600
D)1,200
E)None of these

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Q 35Q 35

A local Walmart sells sweatpants ($7) and jackets ($14). If total sales were $6,160 and customers bought 8 times as many sweatpants as jackets, what would be the number of jackets sold?
A)880
B)8
C)88
D)8,880
E)None of these

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Q 36Q 36

At Shaw's Market, apples cost $10 per case and bananas cost $6 per case. If an order comes in for a total of 300 cases for $2,000, what was the specific number of cases of apples? (Hint: Let A = cases of apples.)
A)5
B)15
C)50
D)200
E)None of these

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Q 37Q 37

Coffee costs $12 per case, and tea costs $8 per case. If an order comes in for a total of 250 cases for $2,600, what was the specific number of cases of tea? (Hint: Let C = cases of coffee.)
A)150
B)100
C)1,800
D)800
E)None of these

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Q 38Q 38

Dolls cost $140 per carton, and trucks cost $430 per carton. If an order comes in for a total of 100 cartons for $28,500, what was the number of cartons of dolls? (Hint: Let T = cartons of trucks.)
A)60
B)70
C)50
D)30
E)None of these

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Q 39Q 39

Belts cost $160 per carton, and shoes cost $465 per carton. If an order comes in for a total of 88 cartons for $19,265, what is the number of cartons of belts? (Hint: Let S = cartons of shoes.)
A)17
B)18
C)16
D)71
E)None of these

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Q 40Q 40

Marvin Co. sells pens ($6) and flashlights ($10). If total sales were $624 and customers bought 7 times as many pens as flashlights, what would be the number of pens sold?
A)12
B)62
C)84
D)48
E)None of these

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Q 41Q 41

Jill Co. sells thermometers ($2) and hot water bottles ($6). If total sales were $312 and customers bought 10 times as many thermometers as hot water bottles, what would be the number of hot water bottles sold?
A)120
B)119
C)12
D)11
E)None of these

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Q 42Q 42

In Ryan Corporation, the first shift produced 5 1/2 times as many lightbulbs as the second shift. If the total lightbulbs produced was 16,250, how many lightbulbs were produced on shift 1?
A)2,500
B)25,000
C)1,375
D)13,750
E)None of these

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Q 43Q 43

In Johnson Corporation, the first shift produced 8 1/2 times as many lightbulbs as the second shift. If the total lightbulbs produced was 24,700, how many lightbulbs were produced on shift 2?
A)2,600
B)22,100
C)6,200
D)22,010
E)None of these

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Q 44Q 44

Joe Berry and Jane Rose received a total of $180,000 from a deceased relative's estate. They decided to put away $80,000 in a trust for their child and divide the remainder into 3/4 for Jane and 1/4 for Joe. How much will Jane receive?
A)$25,000
B)$75,000
C)$20,000
D)$80,000
E)None of these

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Q 45Q 45

Al Resse and Marci Rey received a total of $210,000 from a deceased relative's estate. They decided to put away $50,000 in a trust for their child and divide the remainder into 1/4 for Marci and 3/4 for Al. How much will Al receive?
A)$40,000
B)$120,000
C)$32,000
D)$10,000
E)None of these

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Q 47Q 47

Scholastic Books sells 4 times as many textbooks as Keller Publishing; together they sold 7,775 textbooks. How many did Scholastic sell?
A)9,330
B)1,555
C)6,220
D)6,022
E)None of these

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Q 49Q 49

Kohl's sells casual shirts for $9 and polo shirts for $18.00. Total sales were $1,080, and customers bought 4 times as many casual as polo shirts. How many casual shirts did Kohl's sell?
A)80
B)60
C)40
D)12
E)None of these

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Q 50Q 50

American Airlines reduced its round trip fare from Boston to New York by $45. The sale price was $139. What was the original price?

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Q 51Q 51

Ryan Small budgets 1/8 of his weekly salary for food. Ryan's food bill is $80. What is his weekly salary?

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Q 52Q 52

If Sears Roebuck sells six times as many batteries as Firestone and their difference in sales is 250,000 batteries, how many batteries did each sell?

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Q 53Q 53

Jim Murray and Al Sming sold a total of 600 camcorders. Jim sold 5 times as many camcorders as Al. How many did each sell?

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Q 54Q 54

Brian Smith sells sets of movie posters ($12) and baseball cards ($8) at a local flea market. Last Sunday, Brian's total sales were $840. People bought 4 times as many movie posters as baseball cards. How many of each did Brian sell? Check your answer.

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Q 55Q 55

Peter Mabet sold a total of 400 oatmeal ($1.50) and wheat ($2) breads during the Labor Day weekend. How many of each did Peter sell if total sales were $700? Check your answer. (Let W = wheat.)

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Q 57Q 57

Over the past month, 700 trucks were sold. Abe sold 6 times as many as Joe. How many did each sell?

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Q 58Q 58

A furniture company produces 4 times as many beds on shift 2 as on shift 1. If a total of 1,000 beds were produced, how many were produced on each shift?

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Q 59Q 59

Marika is 8 times Barry's age. If the difference in their age is 7 years, how old is Marika?

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Q 60Q 60

Andy Foll is 6 times as old as Mel Kaas. Andy is 15 years older than Mel. What is Mel's age?

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Q 61Q 61

Art Neuner and Paul Kosponato sell trucks for Blue Auto. Over the past year, they sold 240 trucks. Assuming Paul sells 7 times as many as Art, how many trucks did each sell?

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Q 62Q 62

Wrenches cost $50 per carton, and hammers cost $150 per carton. If an order comes in for a total of 60 cartons for $5,000, what was the number of cartons of wrenches as well as hammers? (Hint: Let cartons of hammers = H.)

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Q 63Q 63

The cost of oil is 6 times the cost of wood. The total bill for oil and wood is $700. What was the expense for each?

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Q 64Q 64

At Miduale Electronics, the first shift produced 6 times as many items as the second shift. If total production was 4,900, what was the output for each shift?

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Q 65Q 65

Melons cost $20 per crate, and apples cost $8 per crate. An order comes in for a total of 48 crates for $420. What was the number of crates of melons and apples? (Let crates of melons = M.)

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