Question

Alex and Peter win some money and share it in the ratio 6:1. Alex gets £50 more than Peter. How much did they get altogether?

Answer 1

Ratio

Alex : Peter : Total
6 . : 1 : 7

Difference in shares = 6 - 1 = 5
5 shares = £50

1 share = £50 ÷ 5
1 share = £10

7 shares = £10 x 7 = £70

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Answer: They get £70 altogether.
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Answer 2

Alex = 6x
Peter = x

6x = x + 50
5x = 50
x = 10

Alex = £60
Peter = £10

together = £70