Equivalent Ratios and Unit Rates

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, 1:2 and 2:4 are equivalent ratios.

Front

How do you find a unit rate?

Back

To find a unit rate, divide the quantity by the number of units. For example, if you drive 200 miles in 4 hours, the unit rate is 200 miles ÷ 4 hours = 50 miles per hour.

Front

What is the unit rate of 4 bags of rice costing $7.20?

Back

The unit rate is $7.20 ÷ 4 bags = $1.80 per bag.

Front

If Mari works 25 hours for $200, how much does she make per hour?

Back

To find her hourly rate, divide $200 by 25 hours: $200 ÷ 25 = $8 per hour.

Front

What is the equivalent ratio of 35 to 50?

Back

The equivalent ratio is 7:10.

Front

If a car travels 300 miles in 5 hours, what is the unit rate in miles per hour?

Back

The unit rate is 300 miles ÷ 5 hours = 60 miles per hour.

Front

How do you determine if two ratios are equivalent?

Back

Two ratios are equivalent if they can be simplified to the same fraction or if their cross products are equal.

Front

What is the unit rate of 60 apples for $12?

Back

The unit rate is $12 ÷ 60 apples = $0.20 per apple.

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 many hours will Mari work to make $120 if she makes $8 per hour?

Back

Mari will work 120 ÷ 8 = 15 hours.