Unit Rate Word Problems

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if a car travels 150 kilometers in 3 hours, the unit rate is 50 kilometers per hour.

Front

How do you find the unit rate from a word problem?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if 63 kilograms of dough is made in 9 hours, the unit rate is 63 kg ÷ 9 hours = 7 kg/hour.

Front

If 77 kilograms of dough is prepared, how many hours did it take if the unit rate is 7 kg/hour?

Back

To find the time taken, divide the total kilograms by the unit rate: 77 kg ÷ 7 kg/hour = 11 hours.

Front

If Pedro walked 10 kilometers in 2 trips, what is the unit rate of kilometers per trip?

Back

The unit rate is 10 km ÷ 2 trips = 5 km/trip.

Front

How many trips will Pedro need to make to walk 15 kilometers at a rate of 5 km/trip?

Back

To find the number of trips, divide the total kilometers by the unit rate: 15 km ÷ 5 km/trip = 3 trips.

Front

Emily jarred 9 liters of jam in 3 days. What is the unit rate of liters per day?

Back

The unit rate is 9 liters ÷ 3 days = 3 liters/day.

Front

How many days does Emily need to jar 12 liters of jam at a rate of 3 liters/day?

Back

To find the number of days, divide the total liters by the unit rate: 12 liters ÷ 3 liters/day = 4 days.

Front

Sasha baked 50 cookies using 10 scoops of flour. What is the unit rate of cookies per scoop?

Back

The unit rate is 50 cookies ÷ 10 scoops = 5 cookies/scoop.

Front

How many scoops of flour does Sasha need to bake 70 cookies at a rate of 5 cookies/scoop?

Back

To find the number of scoops needed, divide the total cookies by the unit rate: 70 cookies ÷ 5 cookies/scoop = 14 scoops.

Front

The corporate event costs $272 for 16 people. What is the cost per person?

Back

The cost per person is $272 ÷ 16 people = $17 per person.