Ratios, Rates & Unit 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

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 spend $40 on 5 pounds of concrete, the unit rate is $40 ÷ 5 = $8 per pound.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different kinds of quantities, such as distance to time (e.g., miles per hour).

Front

If Jack earns $46.80 for 6 hours of work, what is his rate of pay?

Back

$7.80 per hour.

Front

What is the ratio of blue marbles to red marbles if there are 3 blue and 7 red marbles?

Back

3 : 7.

Front

What is the ratio of blue and yellow marbles to red marbles if there are 3 blue, 2 yellow, and 7 red marbles?

Back

5 to 7.

Front

If you spend $40 on 5 pounds of concrete, what is the unit rate in dollars per pound?

Back

$8 per pound.

Front

Which rate is equivalent to 15 miles per hour?

Back

30 miles in 2 hours.

Front

What does it mean if a rate is expressed as 'miles per hour'?

Back

It means the number of miles traveled in one hour.

Front

How can you express the ratio of 8 green marbles to 3 blue marbles?

Back

8 : 3.