Question

Sarah and Gavyn win some money and share it in the ratio 5:3. Sarah gets £26 more than Gavyn. How much did Gavyn get?

Answer 1

£39

Explanation:

Let Gavyn's share = x

Since, Sarah gets £26 more than Gavyn.

Sarah's Share = x+26

Equating the Ratio of their Shares and the actual sum received

x+26 : x = 5:3

Converting to Fractions

`(x+26)/(x)=(5)/(3)`

Cross multiply

5x=3(x+26)

5x=3x+78

5x-3x=78

2x=78

Divide both sides by 2

x=39

Therefore: Gavyn's share x = £39