Ratios, Rates & Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a:b'.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as speed (miles per hour) or price per item.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal, often written as 'a/b = c/d'.

Front

If you spend $40 on 5 pounds of concrete, how much would it cost for 1 pound?

Back

$8 per pound.

Front

If the ratio of boys to girls is 5:7, how many girls are there if there are 15 boys?

Back

21 girls.

Front

What is the equivalent ratio of 2:3?

Back

4:6.

Front

How do you find a missing value in a proportion?

Back

Cross-multiply the known values and solve for the unknown.

Front

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

Back

50 cars.

Front

What is the unit rate of 60 miles in 2 hours?

Back

30 miles per hour.

Front

If the ratio of hearts to flashes is 4:5, what is the total number of parts?

Back

9 parts.