Solving Ratio Problems

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 to b' or a:b.

Front

How do you solve a ratio problem?

Back

To solve a ratio problem, identify the quantities involved, set up a proportion if necessary, and solve for the unknown quantity using cross-multiplication or equivalent ratios.

Front

If Jeff runs 6 miles in 4 hours, what is his rate of running in miles per hour?

Back

1.5 miles per hour (6 miles ÷ 4 hours = 1.5 miles/hour).

Front

If there are 5 ice cream cones for every 3 brownies, what is the ratio of ice cream cones to brownies?

Back

The ratio of ice cream cones to brownies is 5:3.

Front

How many ice cream cones are sold if 24 brownies are sold at a ratio of 5:3?

Back

40 ice cream cones (5/3 = x/24; x = 40).

Front

If you earn $15 every 3 weeks, how much do you earn in 1 week?

Back

$5 (15 ÷ 3 = 5).

Front

How much will you earn in 5 weeks if you earn $5 per week?

Back

$25 (5 weeks × $5/week = $25).

Front

What is the speed of Mr. Dulin in miles per minute if he runs 5 miles in 42 minutes?

Back

0.119 miles per minute (5 miles ÷ 42 minutes).

Front

How long will it take Mr. Dulin to run 25 miles at his current speed?

Back

210 minutes (25 miles ÷ 0.119 miles/minute ≈ 210 minutes).

Front

If a box of candy has a ratio of 2 cherry pieces to 4 lemon pieces, what is the simplified ratio?

Back

1:2 (2 cherry pieces ÷ 2 = 1; 4 lemon pieces ÷ 2 = 2).