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 being compared, set up a proportion if necessary, and solve for the unknown quantity.

Front

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

Back

$5 (because $15 divided by 3 weeks equals $5 per week).

Front

If Mr. Dulin runs 5 miles in 42 minutes, what is his speed in miles per minute?

Back

His speed is approximately 0.119 miles per minute (5 miles divided by 42 minutes).

Front

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

Back

The ratio of cherry to lemon pieces is 1:2.

Front

How many lemon pieces are there if there are 36 cherry pieces in a box with a 1:2 ratio?

Back

There are 72 lemon pieces (because for every 1 cherry piece, there are 2 lemon pieces).

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 were sold if 24 brownies were sold in a 5:3 ratio?

Back

40 ice cream cones were sold (because 5/3 of 24 equals 40).

Front

At a fundraiser, if you earn 15 points for every 3 boxes sold, how many points do you earn for 1 box?

Back

You earn 5 points for 1 box (because 15 points divided by 3 boxes equals 5 points per box).

Front

If you sell 7 boxes of chocolate at 15 points per 3 boxes, how many points do you earn?

Back

You earn 35 points (because 7 boxes earns you 35 points).