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 the unit rate?

Back

To find the unit rate, divide the total amount by the number of units. For example, if 12 apples cost $6, the unit rate is $6 ÷ 12 = $0.50 per apple.

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 per one unit of another quantity.

Front

If 4 gallons of gas cost $12, what is the unit rate per gallon?

Back

The unit rate is $12 ÷ 4 gallons = $3 per gallon.

Front

How do you solve for a missing value in a ratio?

Back

To solve for a missing value in a ratio, set up a proportion and cross-multiply to find the unknown value.

Front

What is the unit rate of $97.50 for 15 pizzas?

Back

The unit rate is $97.50 ÷ 15 pizzas = $6.50 per pizza.

Front

If the unit rate for chocolate chip cookies is $0.25 per cookie, how much for 8 cookies?

Back

8 cookies cost $0.25 × 8 = $2.00.

Front

Sara drove 72 miles on 4 gallons of gas. How far did she drive on 1 gallon of gas?

Back

She drove 72 miles ÷ 4 gallons = 18 miles per gallon.

Front

A store sells 12 cans of fruit for $27. What is the price of 7 cans of fruit?

Back

First, find the unit rate: $27 ÷ 12 cans = $2.25 per can. Then, for 7 cans: $2.25 × 7 = $15.75.

Front

What is the relationship between equivalent ratios and unit rates?

Back

Equivalent ratios can be used to find unit rates, as they express the same relationship between quantities.