Unit Rates & Proportions

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 a quantity of one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the first quantity by the second quantity. For example, if you have 10 apples for $5, the unit rate is $5 ÷ 10 apples = $0.50 per apple.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a recipe calls for 2 cups of flour for every 3 cups of sugar, the ratio of flour to sugar is a proportion.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and set them equal to each other. For example, if a/b = c/d, then ad = bc.

Front

What is the ratio of dimes to total coins if you have 3 pennies, 4 nickels, and 5 dimes?

Back

The ratio of dimes to total coins is 5 dimes to 12 total coins, or 5:12.

Front

If a product costs $12.25 for 5 items, how do you find the cost per item?

Back

To find the cost per item, divide the total cost by the number of items. $12.25 ÷ 5 = $2.45 per item.

Front

What is the better value: $2.29 per oz or $1.88 per oz?

Back

$1.88 per oz is the better value because it costs less per ounce.

Front

If a hamburger costs $6 for 3 pounds, how much does it cost for 10 pounds?

Back

To find the cost for 10 pounds, first find the cost per pound: $6 ÷ 3 pounds = $2 per pound. Then multiply by 10 pounds: $2 × 10 = $20.

Front

What is the formula for finding a unit price?

Back

The formula for finding a unit price is: Unit Price = Total Price ÷ Quantity.

Front

How do you express a ratio?

Back

A ratio can be expressed in three ways: as a fraction (3/4), with a colon (3:4), or with the word 'to' (3 to 4).