Ratios
Rates
Rates Word Problems
Proportions
Proportion Word Problems
100

Dogs: 25

Cats: 20

Write the ratio of cats to dogs in 3 ways.

20/25

20:25

20 to 25

100

120 miles

6 hours

What is the unit rate of miles per hour?

20 miles per hour

100


Kim and Ben are planting a garden. Kim plants 24 flowers in 2 hours. Ben plants 33 flowers in 3 hours. Whose rate is faster?


Kim: 12 plants per hour

Ben: 11 plants per hour

Kim

100

5  =  2

n      8

20

100


If a fuel efficient car can go 210 miles on 4 gallons of fuel, how far can it go on 12 gallons?


630 miles

200

Apples: 10

Oranges: 6

Write the ratio of apples to oranges in 3 ways.

10/6

10:6

10 to 6

200

36 pushups

2 minutes

What is the rate of pushups per minute?

18 pushups per minute

200


Ann’s Bakery bakes 450 loaves of bread in 3 days. Mark’s Bakery bakes 560 loaves of bread in 4 days. Which bakery bakes bread at the faster rate?


Ann's Bakery: 150 loaves per day

Mark's Bakery: 140 loaves per day

Ann's Bakery

200

n = 12

4    6

8

200


If a farmer gets 340 bushels of corn from 2 acres of land, how many bushels can they get from 15 acres?


2550 bushels

300

Boys: 5

Girls: 2

Write the ratio of girls to boys in 3 ways.

2/5

2:5

2 to 5

300

$45

3 hours

What is the rate of pay per hour?

$15 per hour

300


Dave and Eric are painting a long fence. Dave paints 125 feet of the fence in 5 hours. Eric paints 175 feet in 7 hours. Whose rate is faster?


Dave: 25 ft. per hour

Eric: 25 ft. per hour

Equal

300

2 = n

9    45


10

300


A biologist counted 15 squirrels in 3 acres of forest. Based on that data, how many squirrels would be expected to inhabit a 275 acre forest?


1375 squirrels

400

2 point baskets: 22

3 point baskets: 15

Write the ratio of 2 point baskets to 3 point baskets in 3 ways.

22/15

22:15

22 to 15

400

24 games

12 days

What is the rate of games per day?

2 games per day

400


A bear can run 400 feet in 8 seconds. A horse can run 290 feet in 5 seconds? Which animal runs at the faster rate?


Bear: 50 ft. per second

Horse: 58 ft. per second

Horse

400

3 = n

8    32

12

400


If 3 oranges cost $1.75, how much would 20 oranges cost?


$11.67

500

Boy students: 5

Girl students: 2

Teachers: 1

Write the ratio of teachers to students in 3 ways.

1/7

1:7

1 to 7

500

25 km

10 hours

What is the rate of km per hour?

2.5 km per hour

500


Sam earned $380 working for 8 hours. Rich earned $195 working for 4 hours. Who has the higher rate of pay?


Sam: $47.50 per hour

Rich: $48.75 per hour

Rich

500

7 = 21

3     n

9

500


A runner burned 120 calories on a 1.6 km run. How many calories would they burn on a 5 km run?


375 calories

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