Question

Colin and Dan win some money and share it in the ratio 4:5. Colin gets £52. How much did they win in total?

Answer 1

They won £117 in total.

Explanation:

There are two methods to solve the question.

• Finding the total amount directly
• Finding Dan's share and adding it to Colin's share

It is given that the ratio is 4:5

Let x be the share of Dan

The ratio between Colin and Dan's share will be 52/x and it should simplify to 4/5

`(4)/(5) = (52)/(x)\\4x = 52*5\\4x = 260\\(4x)/(4) = (260)/(4)\\x = 65`

The total amount will be:

`Dan's\ share+ Colin's\ share = 52+65 = 117`

Hence,

They won £117 in total.