Ratios, Rates & Unit Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing the relative size of one quantity to another.

Front

What is a rate?

Back

A rate is a comparison of two quantities with different units, such as miles per hour or dollars per pound.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, such as miles per gallon or dollars per item.

Front

How do you calculate the unit rate from a total cost and quantity?

Back

Divide the total cost by the quantity. For example, if 3 pounds of granola cost $3.75, the unit rate is $3.75 ÷ 3 = $1.25 per pound.

Front

Back

The truck can travel 12 miles per gallon.

Front

What is the unit price of Sargento cheese slices if they cost $2.48 for 10 slices?

Back

The unit price is $2.48 ÷ 10 = $0.248 per slice.

Front

What is the unit price of Velveeta cheese slices if they cost $3.18 for 12 slices?

Back

The unit price is $3.18 ÷ 12 = $0.265 per slice.

Front

Which is the better deal: Sargento cheese slices at $2.48 for 10 slices or Velveeta cheese slices at $3.18 for 12 slices?

Back

Sargento is the better deal.

Front

What is the formula to find the unit rate?

Back

Unit Rate = Total Quantity ÷ Total Cost or Total Distance ÷ Total Time.

Front

If a car travels 150 miles in 3 hours, what is its speed in miles per hour?

Back

The speed is 150 miles ÷ 3 hours = 50 miles per hour.