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
[tex]\frac{4}{5} = \frac{52}{x}\\4x = 52*5\\4x = 260\\\frac{4x}{4} = \frac{260}{4}\\x = 65[/tex]
The total amount will be:
[tex]Dan's\ share+ Colin's\ share = 52+65 = 117[/tex]
Hence,
They won £117 in total.
