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 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you find the total distance cycled if you know the number of trips and distance per trip?

Back

Multiply the number of trips by the distance cycled in each trip. For example, if Samantha cycled 2 kilometers per trip for 16 trips, the total distance is 2 km/trip * 16 trips = 32 kilometers.

Front

If Danny read 24 books in 4 months, how many books does he read per month?

Back

To find the unit rate, divide the total number of books by the number of months: 24 books ÷ 4 months = 6 books per month.

Front

How do you calculate the total number of books read after a certain number of months?

Back

Multiply the number of books read per month by the total number of months. For example, if Danny reads 6 books per month for 8 months, he will read 6 books/month * 8 months = 48 books.

Front

What is the relationship between seed packets and plants grown?

Back

The number of plants grown can be determined by the ratio of plants to seed packets. For example, if 9 seed packets grow 54 plants, then each seed packet grows 6 plants (54 plants ÷ 9 packets).

Front

How do you find the total number of plants Toby can grow with more seed packets?

Back

Multiply the number of seed packets by the number of plants each packet can grow. If each packet grows 6 plants, then with 11 packets, Toby can grow 11 packets * 6 plants/packet = 66 plants.

Front

If Sasha baked 50 cookies with 10 scoops of flour, how many cookies can she bake with 1 scoop of flour?

Back

To find the number of cookies per scoop, divide the total cookies by the scoops: 50 cookies ÷ 10 scoops = 5 cookies per scoop.

Front

How do you calculate the number of scoops needed to bake a different number of cookies?

Back

Use the unit rate of cookies per scoop. If Sasha needs to bake 70 cookies and she can bake 5 cookies per scoop, then she needs 70 cookies ÷ 5 cookies/scoop = 14 scoops.

Front

What is the cost per person for a corporate event?

Back

To find the cost per person, divide the total cost by the number of people. For example, if the event costs $272 for 16 people, the cost per person is $272 ÷ 16 = $17.

Front

How do you determine the maximum number of people for a given budget?

Back

Divide the total budget by the cost per person. If the budget is $1,343 and the cost per person is $17, then the maximum number of people is $1,343 ÷ $17 = 79 people.