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

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

If the ratio of completed passes to attempted passes is 7:8, what does this mean?

Back

It means for every 7 completed passes, there are 8 attempted passes.

Front

If a car travels 280 miles in 7 hours, what is its speed in miles per hour?

Back

The speed is 40 miles per hour (280 miles ÷ 7 hours).

Front

If 7 sandwich rolls cost $1.68, what is the cost of one roll?

Back

The cost of one roll is $0.24 ($1.68 ÷ 7 rolls).

Front

How do you find the total cost of multiple items when given the cost of a smaller quantity?

Back

Multiply the cost of the smaller quantity by the ratio of the larger quantity to the smaller quantity.

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 of one.

Front

If a dishwasher uses 32 gallons for 4 loads, how many gallons does it use per load?

Back

It uses 8 gallons per load (32 gallons ÷ 4 loads).

Front

How do you set up a proportion to solve a problem?

Back

Identify the two ratios involved and set them equal to each other.