Rates and Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b'.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity by the number of units. For example, if 15 hamburgers cost $75, the unit rate is $75 ÷ 15 = $5 per hamburger.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different kinds of quantities, such as speed (miles per hour) or price per item.

Front

If 4 bars of soap cost $5, how much do 8 bars cost?

Back

$10 (Since 8 bars is double the amount of 4 bars, the cost is also double: $5 x 2 = $10).

Front

What is the ratio of students to basketballs if there are 35 students and 7 basketballs?

Back

5 to 1 (35 students ÷ 7 basketballs = 5).

Front

If 4 out of every 5 seeds will grow, how many seeds will grow if 40 seeds are planted?

Back

32 seeds (Using the ratio: 4/5 = x/40, solving gives x = 32).

Front

What is the price of 7 packages of Crayola Markers if one package costs $4?

Back

$28 (7 packages x $4 per package = $28).

Front

What is the definition of equivalent ratios?

Back

Equivalent ratios are two or more ratios that express the same relationship between quantities, such as 1:2 and 2:4.

Front

How do you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common factor.

Front

What is the unit rate of 15 apples for $3?

Back

$0.20 per apple ($3 ÷ 15 apples = $0.20).