Proportions & Ratios

Writing Proportions

100

If a bat length is half the height of a batter then how long is a bat that a 70-inch-tall batter uses?

The bat is 25 inches long

200

Tell whether x and y show direct variation

y+1=2x

They do not show direct variation

300

Tell whether x and y show direct variation

1/2y=x

x and y show direct variation

400

Write 5:10 as a proportion

5/10=1/2

500

A chef increases the amounts of ingredients in a recipe to make a proportional recipe. The new recipe has 6 cups of black beans. Write a proportion that gives the number x of tomatoes in the new recipe.

x=4

Solving Proportions

100

Solve 1/4=z/20

z=5

200

Solve 21/24=x/8

x=7

300

Solve 3/2=x/8

x=12

400

Solve 7/z=14/10

x=5

500

Solve 21/24=x/8

x=32

Ratios

100

Write the ratio in simplest form

25 to 45

5/9

200

Write the ratio in simplest form

63:28

2 1/4

300

Write this ratio in simplest form

35:15

2 1/3

400

Find the ratio for males to females

males/females=45/60=3/4

The ratio of males to females is 3/4

500

Find the speed of the subway car per minute

2.5 miles in 5 minutes

The speed is 0.5 mile per minute