Unit Rates & Equivalent Ratios

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 one unit. For example, if you can buy 3 apples for $6, the unit rate is $2 per apple.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the total quantity by the number of units. For example, if you have 12 miles driven in 3 hours, the unit rate is 12 miles ÷ 3 hours = 4 miles per hour.

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, the ratios 1:2 and 2:4 are equivalent.

Front

If a car travels 150 miles in 3 hours, what is the unit rate in miles per hour?

Back

50 miles per hour.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

How can you find equivalent ratios?

Back

You can find equivalent ratios by multiplying or dividing both terms of the ratio by the same number. For example, multiplying 2:3 by 2 gives you 4:6.

Front

What is the unit rate of 60 miles in 2 hours?

Back

30 miles per hour.

Front

If a person can read 120 pages in 4 hours, how many pages can they read in 1 hour?

Back

30 pages per hour.

Front

What is the unit price if 5 pounds of apples cost $10?

Back

$2 per pound.

Front

If a car consumes 12 gallons of gas to travel 300 miles, what is the unit rate in miles per gallon?

Back

25 miles per gallon.