Rates and ratios

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 you buy 5 pounds of concrete for $40, the unit rate is $8 per pound.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the total amount of one quantity by the total amount of the other quantity. For example, if you have 120 customers in 8 hours, the unit rate is 120 ÷ 8 = 15 customers per hour.

Front

What does a ratio represent?

Back

A ratio represents a relationship between two quantities, showing how many times one value contains or is contained within the other. For example, a ratio of 3:5 means for every 3 of one quantity, there are 5 of another.

Front

How do you express a ratio?

Back

A ratio can be expressed in three ways: using a colon (3:5), as a fraction (3/5), or in words (3 to 5).

Front

If there are 30 tenants and the ratio of tenants to cars is 3:5, how many cars are there?

Back

To find the number of cars, set up a proportion: 3/5 = 30/x. Cross-multiply to find x = 50 cars.

Front

What is the ratio of students to basketballs if there are 35 students and 7 basketballs?

Back

The ratio of students to basketballs is 35:7, which simplifies to 5:1.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD). For example, to simplify 35:7, divide both by 7 to get 5:1.

Front

What is the unit rate of $90 earned in 5 hours?

Back

The unit rate is $90 ÷ 5 hours = $18 per hour.

Front

If a store sees 120 customers in 8 hours, what is the unit rate in customers per hour?

Back

The unit rate is 120 ÷ 8 = 15 customers per hour.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator. For example, a ratio of 3:5 can be written as the fraction 3/5.