Question

Sarah and Gavyn win some money and share it in the ratio 5:2. Sarah gets £33 more than Gavyn. How much did they get altogether?

Answer 1

Answer:77

Step-by-step explanation:

Sarah gets 33 more which is equal to the difference of 5 and 2

3=33

1=11

2=22

5=55

55+22=77

Answer 2

They got £77 altogether.

Step-by-step explanation:

Let Sarah won the money = £ a

and amount won by Gavyn = £ b

Ratio of their amount = 5 : 2

That means, $\frac{a}{b}=\frac{5}{2}$

a = $\frac{5}{2}b$  -------(1)

Since Sarah gets 33 more than Gavyn then,

a = b + 33 -------(2)

By equating these equations,

$\frac{5}{2}b=b+33$

5b = 2b + 66

5b - 2b = 66

3b = 66

b = 22

From equation (2)

a = b + 33

a = 22 + 33

a = 55

Therefore, Sarah won £ 55 and Gavyn won £ 22.

They won altogether = 55 + 22 = £77

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