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**.