Matilda, Tom and Luke share a sum of money in the ratio 3:15:10Luke got £21 more than Matilda.How much did Luke receive?
Question
Matilda, Tom and Luke share a sum of money in the ratio 3:15:10
Luke got £21 more than Matilda.
How much did Luke receive?
Solution
To solve this problem, we need to understand that the difference between Luke and Matilda's shares is represented by the difference in their ratios.
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The ratio difference between Luke and Matilda is 10 - 3 = 7.
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This difference is equivalent to £21 in real money, as given in the problem.
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Therefore, each unit of the ratio is worth £21 / 7 = £3.
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Luke's share of the money, according to the ratio, is 10 units.
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So, in real money, Luke received 10 units * £3/unit = £30.
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