Question

Delia, Edwin and Freya share some money in the ratio 5:7:8 Freya's share is £1600 how much did they share?

Answer 1

Answer: £ 400,560,640

Explanation:

Given

Delia, Edwin, and Freya share £1600 in the ratio
`5:7:8`

Suppose, their shares are 5x,7x, and 8x such that the ratio remains the same.

The sum of their shares must be £1600

`\Rightarrow 5x+7x+8x=1600\\\Rightarrow 20x=1600\\\\\Rightarrow x=(1600)/(20)\\\\\Rightarrow x=80`

Their share is

Delia:
`5* 80=400`

Edwin:
`7* 80=560`

Freya:
`8* 80=640`