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 there are 5 ice cream cones for every 3 brownies, how do you find the number of cones sold if 24 brownies were sold?

Back

Set up a proportion: 5 cones/3 brownies = x cones/24 brownies. Solve for x to find that 40 cones were sold.

Front

What is the formula to find the time taken if you know distance and speed?

Back

Time = Distance ÷ Speed.

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 ÷ 42 minutes).

Front

How do you convert a speed from miles per minute to miles per hour?

Back

Multiply the speed in miles per minute by 60 (since there are 60 minutes in an hour).

Front

If Jeff ran 6 miles in 4 hours, what is his speed in miles per hour?

Back

His speed is 1.5 miles per hour (6 miles ÷ 4 hours).

Front

How many miles will Jeff run in 6 hours at his current speed?

Back

9 miles (1.5 miles per hour × 6 hours).

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.