Ratios
Unit Rate
Proportions
Word Problems
100

Simplify the ratio: 8 to 30

4 to 15

100

A car travels 480 miles with 16 gallons of gas. How many miles can it travel per gallon of gas? 

(divide the large number by the small number!) 

30 miles per gallon

100

Do each pair of ratios form a proportion? 2/3 and 6/9

YES (18 = 18)

100

Julie walked 16 miles in 6 hours. How long will it take her to walk 24 miles?

9 hours

200

Simplify the ratio: 30 to 5 

6:1

200

3 boxes can hold 12 books. How many books are held in each box? 

(divide the large number by the small number!)

There are 4 books in each box

200

Do the ratios form proportions? 21/6 and 14.3/3 hr

No (63 does not equal 85.8)

200

The teacher made 30 copies in 5 minutes. How many copies would she make in 25 minutes? 

150 copies

300

Simplify the ratio: 24 to 6

4:1

300

136 students fit into 8 classrooms. How many students can 1 classroom hold? 

(divide the large number by the small number!)

17 students fit into 1 classroom. 

300

Do the ratios form proportions? 8/20 and 24/60 

Yes (480 equals 480)

300

There are 1200 calories in an 8 ounce piece of cheesecake. How many calories are in a 3 ounce piece of cheesecake?

450 calories

400

There are 140 total students. 80 of the students are girls, and 60 of the students are boys. Write the ratio of girls to total students. 

80:140 

400

There are 52 pints of juice in 4 containers. How many pints of juice are in each container? 

(divide the large number by the small number!)

There are 13 pints in each container 

400

Do the ratios form proportions? 5/7 and 25/49 

What is No (245 does not equal 175)

400

Annie bought 3 bags of candy for $1.20. How much do 8 bags of candy cost?

$3.20

500

What is the ratio of I's to total letters in the word "Mississippi"?

4:11

500

A teacher speaks 1500 words in 25 minutes. How many words does she speak per minute? 

(divide the large number by the small number!)

She speaks 60 words per minute

500

Do the ratios form proportions? 5/4 and 25/16

What is No (80 does not equal100)

500

The ratio of vanilla pudding to chocolate pudding in a banana split pie is 4 to 3. Olivia has 64 ounces of vanilla pudding. How much chocolate pudding does she need?

48 ounces.