Rates and Unit Rates

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 single unit. It is often used to determine the cost per item or the rate of something per one unit.

Front

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

Back

To calculate the unit rate, divide the total cost by the total quantity. For example, if you spend $40 on 5 pounds of concrete, the unit rate is $40 ÷ 5 = $8 per pound.

Front

What is the formula for finding the price per item when given total cost and number of items?

Back

The formula is: Price per item = Total cost ÷ Number of items.

Front

If Harry mowed 8 lawns for $96, how do you find out how much he earned per lawn?

Back

To find out how much he earned per lawn, divide the total earnings by the number of lawns: $96 ÷ 8 = $12 per lawn.

Front

What is the price per ticket if a family buys 4 concert tickets for $252?

Back

To find the price per ticket, divide the total cost by the number of tickets: $252 ÷ 4 = $63 per ticket.

Front

How do you determine the cost per pound of an item?

Back

To determine the cost per pound, divide the total cost by the total weight in pounds. For example, if 4 pounds of bananas cost $6, then $6 ÷ 4 = $1.50 per pound.

Front

What is a ratio?

Back

A ratio is a relationship between two quantities, showing how many times one value contains or is contained within the other.

Front

How do you express the ratio of dimes to nickels if there are 10 dimes and 5 nickels?

Back

To express the ratio of dimes to nickels, divide the number of dimes by the number of nickels: 10 dimes ÷ 5 nickels = 2 to 1.

Front

What is the significance of unit rates in real-life applications?

Back

Unit rates help consumers make informed decisions by comparing prices and understanding the value of products or services.

Front

How can you convert a ratio into a fraction?

Back

To convert a ratio into a fraction, write the first quantity as the numerator and the second quantity as the denominator. For example, a ratio of 2 to 1 can be written as 2/1.