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3 years ago

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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3 years ago

Read 2 more answers

Use polynomial long division to rewrite the following fraction in the form q(x)+r(x)d(x), where d(x) is the denominator of the o

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$\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 2x +6 \\ x + 1 \sqrt{ {2x}^{2} + 8x - 12} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: {2x}^{2} + 2x \\ \: \: \: \: \: \: \: \: \: \: \: \frac{ \: - \: \: \: \: \: \: - \: \: \: \: \: }{} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 6x - 12 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 6x + 1 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{ - \: \: - \: \: \: \: \: }{} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - 13$