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Sharing in a Given Two-Part Ratio

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

'Sharing in a Given Two-Part Ratio' worksheet

Key stage:  KS 3

Curriculum topic:   Ratio, Proportion and Rates of Change

Curriculum subtopic:   Use Ratio Notation

Difficulty level:  

Worksheet Overview

In this worksheet, we will use 2-part ratios in money sharing problems.

Example 1

A sum of money is shared in the ratio 2:3 between two people, A and B. 

If A gets £54, how much does B get?

 

Answer

A will have 2 bags of money and B will have 3 bags. Each bag holds an equal amount of money.

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


2 bags contain £54.

Sum of money in each bag = £54 ÷ 2 = £27

 

B gets 3 bags of money, i.e. 3 × £27 = £81.

 

 

Example 2

A sum of money is shared in the ratio 3:5 between two people, A and B. 

If A gets £54, how much was shared in total?

 

Answer

A will have 3 bags of money and B will have 5 bags. Each bag holds an equal amount of money.

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


3 bags contain £54.

Sum of money in each bag = £54 ÷ 3 = £18

 

In total there are 3 + 5 = 8 bags of money, i.e. 8 × £18 = £144.

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