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

Answer:

They won £117 in total.

Step-by-step 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

$\frac{4}{5} = \frac{52}{x}\\4x = 52*5\\4x = 260\\\frac{4x}{4} = \frac{260}{4}\\x = 65$

The total amount will be:

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

Hence,

They won £117 in total.