Question

Natasha and Richard win some money and share it in the ratio 5:1. Natasha gets £60 more than Richard. How much did they get altogether?

Answer 1

£90

Explanation:

Given the ratio of 5:1, total denominator is 5+1=6. Therefore, Natasha's proportion is 5/6 while Richard gets 1/6.

The differences in proportion is 5/6-1/6=4/6

This difference of 4/6, simplified as 2/3 is equivalent to £60

Therefore, 3/3=1 is given by cross multiplication

Total proportion is £60*3/2=£90

In this case, Natasha gets 5/6 of 90=5/6*90=75 while Richard gets 1/6 of 90=1/6*90=15

The difference is 75-15=60

In concljsion, they altogether get £90