Solving Proportions Word Problems

Front

What is a proportion?

Back

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

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the unknown variable.

Front

What does it mean to cross-multiply?

Back

Cross-multiplying involves multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If 150 people wait 20 minutes, how long do 240 people wait?

Back

32 minutes.

Front

If Sue types 3 pages in the same time Mary types 4.5 pages, how many pages will Mary type when Sue types 11 pages?

Back

Mary will type 16.5 pages.

Front

Solve: 14 / 1.5 = 4.2 / y. What is y?

Back

y = 0.45.

Front

Solve: y / 7 = 16 / 28. What is y?

Back

y = 4.

Front

If a shop produces 39 wetsuits every 2 weeks, how long to produce 429 wetsuits?

Back

It will take 22 weeks.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division.

Front

What is the relationship between ratios and proportions?

Back

Proportions are equations that show two ratios are equal.