Solving Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and set the products equal to each other.

Front

If 5 ice cream cones are sold for every 3 brownies, what is the ratio of ice cream cones to brownies?

Back

The ratio of ice cream cones to brownies is 5:3.

Front

If there are 24 brownies sold, how many ice cream cones are sold if the ratio is 5:3?

Back

To find the number of ice cream cones, set up the proportion 5/3 = x/24, which gives x = 40.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit.

Front

How do you find the unit rate from a ratio?

Back

To find the unit rate, divide the first quantity by the second quantity.

Front

If 4 big water bottles hold 8 gallons, how much does 1 big water bottle hold?

Back

1 big water bottle holds 2 gallons (8 gallons ÷ 4 bottles).

Front

How much water can 3 big water bottles hold if 1 holds 2 gallons?

Back

3 big water bottles can hold 6 gallons (3 bottles × 2 gallons each).

Front

If 50 apples cost $25, what is the cost of 1 apple?

Back

The cost of 1 apple is $0.50 ($25 ÷ 50 apples).

Front

How do you find the cost of 75 apples if 1 apple costs $0.50?

Back

The cost of 75 apples is $37.50 (75 apples × $0.50 each).