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Ratios and Proportions

Ratios

A ratio is a comparison between two similar things. It can be written several ways such as ⅜ , 3:8, or 3 to 8. Express each ratio as a fraction with the same units in the numerator and the denominator. Then reduce the ratio to its lowest terms.

2 weeks to 18 days

a. 9/7

b. 18/2

c. 9/11

d. 2/18

e. 7/9

60 inches to 3 feet

a. 12/20

b. 15/9

c. 9/15

d. 20/12

e. 5/3

12 dimes to 20 nickels

a. 6/5

b. 5/6

c. 12/20

d. 20/12

e. 6/10

6 dollars to 15 quarters

a. 6/15

b. 5/6

c. 5/8

d. 8/5

e. 6/5

Proportions

A proportion is a comparison between 2 ratios. Solve each equation by cross multiplying.

If 3 oranges cost $5, what would 7 oranges cost?

3 / $5 = 7 / ?

7 x 5 = 35 / 3 = $11.67

4 / 9 = 12 / x

a. 12

b. 15

c. 9

d. 27

e. 17

32 / 5 = x /10

a. 64

b. 45

c. 62

d. 25

e. 65

50 /7 = x / 28

a. 50

b. 200

c. 125

d. 225

e. 175

21 / 15 = 7 / x

a. 15

b. 12

c. 7

d. 8

e. 5

25 / 100 = 8 / x

a. 30

b. 64

c. 32

d. 15

e. 19

29 / 18 = 58 / x

a. 41

b. 28

c. 23

d. 32

e. 36

Use Proportions to Solve Word Problems

A gardening service charges $30 to install 50 square feet of sod. Find the charge to install 125 square feet.

a. $105

b. $100

c. $125

d. $75

e. $95

Anna earns $280.84 in 4 days. How much does she earn in 10 days?

a. $809.23

b. $702.10

c. $715.85

d. $715.75

e. $625.75

If 4 days of parking costs $80, find the cost of parking for 21 days.

a. $420

b. $240

c. $485

d. $520

e. $550

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