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 quantity by the number of units. For example, if you have 60 miles in 3 hours, the unit rate is 60 miles ÷ 3 hours = 20 miles per hour.

Front

If a car travels 150 miles on 5 gallons of gas, what is the unit rate of miles per gallon?

Back

30 miles per gallon.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, typically expressed as 'per 1'.

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

If you can buy 4 notebooks for $8, what is the cost per notebook?

Back

$2 per notebook.

Front

How do you determine which option is a better buy?

Back

To determine the better buy, compare the unit prices of each option. The option with the lower unit price is the better buy.

Front

If a store sells 10 apples for $5, what is the price per apple?

Back

$0.50 per apple.

Front

If a person can run 12 miles in 2 hours, what is their speed in miles per hour?

Back

6 miles per hour.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.