# Solve Word Problems Involving Ratio

In this worksheet, students will use ratio to solve word problems

Key stage:  KS 3

Curriculum topic:   Ratio, Proportion and Rates of Change

Curriculum subtopic:   Divide/Express Quantities as Ratios

Difficulty level:

#### Worksheet Overview

In this activity, we will use what we know about ratio to solve word problems.

Example

A tennis player wins and loses matches in the ratio 7:3

If she has lost 15 matches, how many has she won?

Method

The first thing we know about ratio is that the order of the ratio must follow the sentence.

win: lose

7:3

We are told that 15 matches have been lost.

Let's look at what we multiplied 3 by to get to 15

3 x 5 = 15 and 15 ÷ 3 = 5

Therefore, if we multiply 7 by 5 we should be able to work out the number of wins.

So, she has won 35 matches.

Does that make sense?

Let's try some more like this!

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