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

Step-by-step 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

$\Rightarrow 5x+7x+8x=1600\\\Rightarrow 20x=1600\\\\\Rightarrow x=\dfrac{1600}{20}\\\\\Rightarrow x=80$

Their share is

Delia:$5\times 80=400$

Edwin:$7\times 80=560$

Freya:$8\times 80=640$