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Andru [333]
3 years ago
13

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?

Mathematics
1 answer:
maks197457 [2]3 years ago
4 0

Answer:

£39

Step-by-step 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

\dfrac{x+26}{x}=\dfrac{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

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