Rates and Unit Rates

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, usually with different units, such as speed (miles per hour) or cost (dollars per item).

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit. For example, if a car travels 60 miles in 1 hour, the unit rate is 60 miles per hour.

Front

How do you find the unit rate from a total cost?

Back

To find the unit rate from a total cost, divide the total cost by the number of items. For example, if 7 apples cost $4.55, the unit rate is $4.55 ÷ 7 = $0.65 per apple.

Front

If 2 drops of red are mixed with 3 drops of yellow, what is the ratio of red to yellow?

Back

The ratio of red to yellow is 2:3.

Front

How many drops of red are needed for 36 drops of yellow if the ratio is 2:3?

Back

If the ratio is 2:3, then for 36 drops of yellow, you would need 24 drops of red.

Front

What is the formula to calculate the cost per item?

Back

The formula to calculate the cost per item is: Cost per item = Total cost ÷ Number of items.

Front

If Harry mowed 8 lawns for $96, how do you find his earnings per lawn?

Back

To find his earnings per lawn, divide the total earnings by the number of lawns: $96 ÷ 8 = $12 per lawn.

Front

What is the cost per pound if 4 pounds of bananas cost $6?

Back

To find the cost per pound, divide the total cost by the number of pounds: $6 ÷ 4 = $1.50 per pound.

Front

How do you calculate the number of items per day if a person completes a task over several days?

Back

To calculate the number of items per day, divide the total number of items by the number of days.

Front

If Lynnette washes 95 cars in 5 days, how many cars does she wash each day?

Back

Lynnette washes 95 cars ÷ 5 days = 19 cars per day.