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Sharing in a Given Three-Part Ratio

In this worksheet, students share sums of money in the given three-part ratios.

'Sharing in a Given Three-Part Ratio' worksheet

Key stage:  KS 3

Curriculum topic:   Ratio, Proportion and Rates of Change

Curriculum subtopic:   Use Ratio Notation

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

In this worksheet, we will learn how to share money in a given 3 part ratio.


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



The first person will have 1 bag of money, the second two bags and the third 3 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

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