# Share Amounts in a Given Three-Part Ratio

In this worksheet, students will share different amounts in a given three-part ratio.

Key stage:  KS 3

Curriculum topic:   Ratio, Proportion and Rates of Change

Curriculum subtopic:   Use Ratio Notation

Popular topics:   Ratio worksheets

Difficulty level:

#### Worksheet Overview

In this activity, we will practise sharing amounts in a given three-part ratio.

Example

Share £132 in the ratio 1:2:3 between three people.

Method

The first person will have one bag of money, the second two bags and the third three bags. Each bag holds an equal amount of money.

We need to work out how much money there is in each bag.

Total number of bags = 1 + 2 + 3 = 6 bags.

Sum of money in each bag = £132 ÷ 6 = £22

First person gets        1 × £22 = £22

Second person gets   2 × £22 = £44

Third person gets      3 × £22 = £66

Check: Total = £22 + £44 + £66 = £132

Does that make sense?

You can use this method to share amounts of anything, not just money, as you will see in this activity!

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