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  • 17-05-2021
  • Mathematics
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Delia, Edwin and Freya share some money in the ratio 5:7:8 Freya's share is £1600 how much did they share?

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nuuk nuuk
  • 18-05-2021

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]

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