Answer: £ 400,560,640
Step-by-step explanation:
Given
Delia, Edwin, and Freya share £1600 in the ratio [tex]5:7:8[/tex]
Suppose, their shares are 5x,7x, and 8x such that the ratio remains the same.
The sum of their shares must be £1600
[tex]\Rightarrow 5x+7x+8x=1600\\\Rightarrow 20x=1600\\\\\Rightarrow x=\dfrac{1600}{20}\\\\\Rightarrow x=80[/tex]
Their share is
Delia:[tex]5\times 80=400[/tex]
Edwin:[tex]7\times 80=560[/tex]
Freya:[tex]8\times 80=640[/tex]
