Ratios and Rates

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 price per item.

Front

What is a unit rate?

Back

A unit rate is a rate in which the denominator is 1, indicating how much of one quantity corresponds to one unit of another quantity.

Front

If there are 1 PC for every 5 Macs in a lab with 24 computers, how many Macs are there?

Back

20 Macs.

Front

In an apartment building, if the ratio of tenants to cars is 3:5 and there are 30 tenants, how many cars are there?

Back

50 cars.

Front

Which of the following is NOT a unit rate: 4 dogs, 0.3 miles per minute, 1 minute per 3 feet, or 0.75 hour per game?

Back

1 minute per 3 feet.

Front

In a school, if the ratio of girls to boys is 7:5 and there are 210 girls, how many boys are there?

Back

150 boys.

Front

In the same school, if the ratio of boys to teachers is 15:1, how many teachers are there if there are 150 boys?

Back

10 teachers.

Front

What is the formula to find a ratio?

Back

To find a ratio, divide the first quantity by the second quantity and express it in simplest form.

Front

How do you simplify a ratio of 8:12?

Back

Divide both sides by their greatest common divisor, which is 4, resulting in 2:3.