Ratios and Rates

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

How do you express a ratio in fraction form?

Back

A ratio can be expressed in fraction form by placing the first quantity over the second quantity, e.g., 2:3 can be written as 2/3.

Front

What is a unit rate?

Back

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

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the total quantity by the number of units, e.g., if 40 dollars buys 5 pounds, the unit rate is 40/5 = 8 dollars per pound.

Front

If 190 people fit in 3 buses, how many people fit in one bus?

Back

To find the number of people per bus, divide 190 by 3, which equals about 63.33 people per bus.

Front

If you need to carry 570 people, how many buses are required if each bus holds about 63 people?

Back

570 divided by 63 is about 9 buses.

Front

What is the unit rate of 90 miles in 12 hours?

Back

The unit rate is 90 miles / 12 hours = 7.5 miles per hour.

Front

How do you find the cost per item in a bulk purchase?

Back

To find the cost per item, divide the total cost by the number of items, e.g., $6.99 for 35 diapers gives $6.99 / 35 = $0.20 per diaper.

Front

What is the unit rate of 5 pounds of concrete costing $40?

Back

The unit rate is $40 / 5 pounds = $8 per pound.

Front

Which of the following is a ratio: 0.667, 2/3, 2.3, or two-thirds?

Back

2/3 is a ratio.