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Tom, Luke and Jack share a sum of money in the ratio 2:4:1Tom got £20.How much did Luke receive?

Question

Tom, Luke and Jack share a sum of money in the ratio 2:4:1Tom got £20.How much did Luke receive?

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Solution

The total ratio representing the sum of money is 2 (for Tom) + 4 (for Luke) + 1 (for Jack) = 7.

If Tom's share (£20) represents 2 parts of the total ratio, then each part is worth £20 / 2 = £10.

Therefore, Luke's share, which is 4 parts of the total ratio, is 4 * £10 = £40. So, Luke received £40.

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