Unit Rate Word Problems

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity of one unit, such as miles per hour or cost per item.

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 50 cookies are made with 10 scoops of flour, the unit rate is 50 cookies ÷ 10 scoops = 5 cookies per scoop.

Front

If Seth prepared 63 kilograms of dough in 9 hours, how do you find the rate of dough prepared per hour?

Back

Divide the total kilograms by the total hours: 63 kg ÷ 9 hours = 7 kg per hour.

Front

Sasha baked 50 cookies with 10 scoops of flour. How many scoops of flour does she need for 70 cookies?

Back

First, find the unit rate: 10 scoops ÷ 50 cookies = 0.2 scoops per cookie. Then, multiply by 70 cookies: 0.2 scoops/cookie × 70 cookies = 14 scoops.

Front

What is the formula to calculate the total amount based on unit rate?

Back

Total Amount = Unit Rate × Number of Units.

Front

Danny read 24 books over 4 months. How do you find the number of books he reads per month?

Back

Divide the total books by the number of months: 24 books ÷ 4 months = 6 books per month.

Front

If Danny continues reading for 8 months, how many books will he have read in total?

Back

Multiply the monthly rate by the total months: 6 books/month × 8 months = 48 books.

Front

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

Back

Divide the total cost by the number of people: $272 ÷ 16 people = $17 per person.

Front

If the budget for the event is $1,343, how many people can attend?

Back

Divide the budget by the cost per person: $1,343 ÷ $17/person = 79 people.

Front

Samantha cycled 32 kilometers in 16 trips. How do you find the distance per trip?

Back

Divide the total distance by the number of trips: 32 km ÷ 16 trips = 2 km per trip.