Unit Rate Problem Solving

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 unit rate from a word problem?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if 9 liters of jam are made in 3 days, the unit rate is 9 liters ÷ 3 days = 3 liters per day.

Front

If Emily jars 9 liters of jam in 3 days, how many liters does she jar per day?

Back

3 liters per day.

Front

If Seth prepared 63 kilograms of dough in 9 hours, how many kilograms does he prepare per hour?

Back

7 kilograms per hour.

Front

How do you set up a proportion to solve a unit rate problem?

Back

Set up a proportion by comparing the known quantity to the unknown quantity. For example, if you know the rate of 9 liters in 3 days, you can set up the proportion 9 liters/3 days = x liters/12 days.

Front

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

Back

Total Amount = Unit Rate × Number of Units. For example, if the unit rate is 3 liters per day, then in 4 days, the total amount is 3 liters/day × 4 days = 12 liters.

Front

How many calories are in 1 cup of dog food if 5 cups contain 1600 calories?

Back

320 calories per cup.

Front

If Mike gives his puppy 3 cups of dog food, how many calories does the puppy get?

Back

960 calories.

Front

If Samantha cycled 32 kilometers in 16 trips, how many kilometers does she cycle per trip?

Back

2 kilometers per trip.

Front

How do you calculate the total distance after multiple trips?

Back

Total Distance = Distance per Trip × Number of Trips. For example, if the distance per trip is 2 km and there are 31 trips, then Total Distance = 2 km × 31 = 62 km.