Ratio and Rate Reasoning

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' or a:b.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or dollars per item.

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 you earn $48 for 6 hours of work, the unit rate is $48 ÷ 6 hours = $8 per hour.

Front

If 12 pencils cost $3, how much does 1 pencil cost?

Back

1 pencil costs $3 ÷ 12 = $0.25.

Front

If 12 pencils can be purchased with $3, how many pencils can be purchased with $4.50?

Back

18 pencils can be purchased with $4.50.

Front

What is the formula to find speed?

Back

Speed = Distance ÷ Time.

Front

A caterpillar crawled 20 ft in 25 minutes. What is its speed in feet per minute?

Back

0.8 feet per minute.

Front

If Anna earns $48 for washing cars for 6 hours, how much will she earn in 1 hour?

Back

$48 ÷ 6 hours = $8 per hour.

Front

How many hours will it take Anna to earn $72 if she charges at the same rate?

Back

It will take Anna 9 hours to earn $72.

Front

What is the total number of months in a 15-year home loan?

Back

180 months.