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Exercise Supplement

Module by: Wade Ellis, Denny Burzynski. E-mail the authorsEdited By: Math Editors

Summary: This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module is an exercise supplement for the chapter "Ratios and Rates" and contains many exercise problems. Odd problems are accompanied by solutions.

Exercise Supplement

Ratios and Rates ((Reference))

Exercise 1

Compare 250 watts to 100 watts by subtraction.

Solution

250 watts are 150 watts more than 100 watts

Exercise 2

Compare 126 and 48 by subtraction.

Exercise 3

Compare 98 radishes to 41 radishes by division.

Solution

98 radishes are 2.39 times as many radishes as 41 radishes

Exercise 4

Compare 144 to 9 by division.

Exercise 5

Compare 100 tents to 5 tents by division.

Solution

100 tents are 20 times as many tents as 5 tents

Exercise 6

Compare 28 feet to 7 feet by division.

Exercise 7

Comparison, by division, of two pure numbers or two like denominate numbers is called a
.

Solution

ratio

Exercise 8

A comparison, by division, of two unlike denominate numbers is called a
.

For problems 9-12, express each ratio or rate as a fraction.

Exercise 9

15 to 5

Solution

3131

Exercise 10

72 to 12

Exercise 11

8 millimeters to 5 milliliters

Solution

8ml5ml8ml5ml

Exercise 12

106 tablets to 52 tablets

For problems 13-16, write each ratio in the form "aa to bb".

Exercise 13

916916

Solution

9 to 16

Exercise 14

511511

Exercise 15

1  diskette8  diskettes1  diskette8  diskettes

Solution

1 diskette to 8 diskettes

Exercise 16

5  papers3  pens5  papers3  pens

For problems 17-21, write each ratio or rate using words.

Exercise 17

916=1832916=1832

Solution

9 is to 16 as 18 is to 32

Exercise 18

14=124814=1248

Exercise 19

8  items4  dollars=2  items1  dollar8  items4  dollars=2  items1  dollar

Solution

8 items are to 4 dollars as 2 items are to 1 dollar

Exercise 20

150 milligrams of niacin is to 2 tablets as 300 milligrams of niacin is to 4 tablets.

Exercise 21

20 people is to 4 seats as 5 people is to 1 seat.

Solution

204=51204=51
 20 people are to 4 seats as 5 people are to 1 seat

Proportions ((Reference))

For problems 22-27, determine the missing number in each proportion.

Exercise 22

x3=249x3=249

Exercise 23

157=60x157=60x

Solution

28

Exercise 24

11=x4411=x44

Exercise 25

3x=15503x=1550

Solution

10

Exercise 26

15  bats16  balls=x  bats128  balls 15  bats16  balls=x  bats128  balls

Exercise 27

36  rooms29  fans=504  roomsx  fans 36  rooms29  fans=504  roomsx  fans

Solution

406

Applications of Proportions ((Reference))

Exercise 28

On a map, 3 inches represents 20 miles. How many miles does 27 inches represent?

Exercise 29

A salt solution is composed of 8 parts of salt to 5 parts of water. How many parts of salt are there in a solution that contains 50 parts of water?

Solution

80

Exercise 30

A model is built to 415415 scale. If a particular part of the model measures 8 inches in length, how long is the actual structure?

Exercise 31

The ratio of ammonia to air in a container is 340340 How many milliliters of air should be in a container that contains 8 milliliters of ammonia?

Solution

32033203 or 1062323

Exercise 32

A 4-foot girl casts a 9-foot shadow at a particular time of the day. How tall is a pole that casts a 144-foot shadow at the same time of the day?

Exercise 33

The odds that a particular event will occur are 11 to 2. If this event occurs 55 times, how many times would you predict it does not occur?

Solution

10

Exercise 34

Every 1 3434 teaspoon of a multiple vitamin, in granular form, contains 0.85 the minimum daily requirement of vitamin A. How many teaspoons of this vitamin are required to supply 2.25 the minimum daily requirement?

Percent and Fractions of One Percent ((Reference),(Reference))

For problems 35-39, convert each decimal to a percent.

Exercise 35

0.16

Solution

16%

Exercise 36

0.818

Exercise 37

5.3536

Solution

535.36%

Exercise 38

0.50

For problems 40-48, convert each percent to a decimal.

Exercise 40

62%

Exercise 41

1.58%

Solution

0.0158

Exercise 42

9.15%

Exercise 43

0.06%

Solution

0.0006

Exercise 44

0.003%

Exercise 45

53115311 % to a three-place decimal

Solution

0.053

Exercise 46

913913 % to a three-place decimal

Exercise 47

82 25292529 % to a four-place decimal

Solution

0.8286

Exercise 48

18171817 % to a four-place decimal

For problems 49-55, convert each fraction or mixed number to a percent.

Exercise 49

3535

Solution

60%

Exercise 50

210210

Exercise 51

516516

Solution

31.25%

Exercise 52

358358

Exercise 53

1051610516

Solution

656.25%

Exercise 54

45 111111

Exercise 55

6 27892789

Solution

3688. 8 _ % 3688.8 _ %

For problems 56-64, convert each percent to a fraction or mixed number.

Exercise 56

95%

Exercise 57

12%

Solution

325325

Exercise 58

83%

Exercise 59

38.125%

Solution

6116061160

Exercise 60

61.2_%61.2_%

Exercise 61

58%58%

Solution

11601160

Exercise 62

6920%6920%

Exercise 63

1532215322 %

Solution

297719800297719800

Exercise 64

1061945%1061945%

Applications of Percents ((Reference))

For problems 65-72, find each solution.

Exercise 65

What is 16% of 40?

Solution

6.4

Exercise 66

29.4 is what percent of 105?

Exercise 67

3215032150 is 547.2% of what number?

Solution

0.625 or 5858

Exercise 68

0.09378 is what percent of 52.1?

Exercise 69

What is 680% of 1.41?

Solution

9.588

Exercise 70

A kitchen knife is on sale for 15% off the marked price. If the marked price is $ 39.50, what is the sale price?

Exercise 71

On an 80 question geology exam, a student gets 68 correct. What percent is correct?

Solution

85

Exercise 72

A salesperson makes a commission of 18% of her monthly sales total. She also receives a monthly salary of $1,600.00. If, in a particular month, she sells $4,000.00 worth of merchandise, how much will she make that month?

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