Unit Rates and Unit Price Problems

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as one unit. For example, if you travel 60 miles in 2 hours, the unit rate is 30 miles per hour.

Front

How do you calculate the unit price?

Back

To calculate the unit price, divide the total cost by the number of units. For example, if 15 pizzas cost $97.50, the unit price per pizza is $97.50 ÷ 15 = $6.50.

Front

If a store sells 120 items in 8 hours, how do you find the unit rate?

Back

To find the unit rate, divide the total number of items by the total time. In this case, 120 items ÷ 8 hours = 15 items per hour.

Front

What is the formula for finding the unit cost?

Back

The formula for finding the unit cost is: Unit Cost = Total Cost ÷ Number of Units.

Front

If Will spent $3.75 for 3 pounds of granola, what is the unit rate in dollars per pound?

Back

The unit rate is calculated as $3.75 ÷ 3 pounds = $1.25 per pound.

Front

How much does Ilana make per hour if she earned $45 for 6 hours of babysitting?

Back

To find the hourly rate, divide the total earnings by the total hours: $45 ÷ 6 hours = $7.50 per hour.

Front

Who got the better deal: Rose who spent $2.00 for 20 pieces of gum or Joe who spent $1.50 for 10 pieces?

Back

To compare, calculate the unit price: Rose's price is $2.00 ÷ 20 = $0.10 per piece; Joe's price is $1.50 ÷ 10 = $0.15 per piece. Rose got the better deal.

Front

What is the unit price of an item that costs $50 for 5 items?

Back

The unit price is $50 ÷ 5 = $10 per item.

Front

If a car travels 240 miles in 4 hours, what is the unit rate in miles per hour?

Back

The unit rate is 240 miles ÷ 4 hours = 60 miles per hour.

Front

How do you determine the better deal between two products?

Back

To determine the better deal, calculate the unit price for each product and compare them. The lower unit price indicates the better deal.