**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

#### Exercise 10

72 to 12

#### Exercise 11

8 millimeters to 5 milliliters

##### Solution

#### Exercise 12

106 tablets to 52 tablets

For problems 13-16, write each ratio in the form "

#### Exercise 13

##### Solution

9 to 16

#### Exercise 14

#### Exercise 15

##### Solution

1 diskette to 8 diskettes

#### Exercise 16

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

#### Exercise 17

##### Solution

9 is to 16 as 18 is to 32

#### Exercise 18

#### Exercise 19

##### 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

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

#### Exercise 23

##### Solution

28

#### Exercise 24

#### Exercise 25

##### Solution

10

#### Exercise 26

#### Exercise 27

##### 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

#### Exercise 31

The ratio of ammonia to air in a container is

##### Solution

#### 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

**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

#### Exercise 39

3

##### Solution

300%

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

##### Solution

0.053

#### Exercise 46

#### Exercise 47

82

##### Solution

0.8286

#### Exercise 48

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

#### Exercise 49

##### Solution

60%

#### Exercise 50

#### Exercise 51

##### Solution

31.25%

#### Exercise 52

#### Exercise 53

##### Solution

656.25%

#### Exercise 54

45

#### Exercise 55

6

##### Solution

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

#### Exercise 56

95%

#### Exercise 57

12%

##### Solution

#### Exercise 58

83%

#### Exercise 59

38.125%

##### Solution

#### Exercise 60

#### Exercise 61

##### Solution

#### Exercise 62

#### Exercise 63

##### Solution

#### Exercise 64

**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

##### Solution

0.625 or

#### 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?

Comments:"Used as supplemental materials for developmental math courses."