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Adam, Tara and Sophia share a sum of money in the ratio 2:5:14Adam got £40.How much did Sophia receive

Question

Adam, Tara and Sophia share a sum of money in the ratio 2:5:14Adam got £40.How much did Sophia receive

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Solution

To solve this problem, we first need to understand the total ratio. The total ratio is 2 (for Adam) + 5 (for Tara) + 14 (for Sophia) = 21.

We know that Adam's share (£40) corresponds to 2 parts of this ratio. Therefore, 1 part of the ratio is equal to £40 / 2 = £20.

Sophia's share corresponds to 14 parts of the ratio. Therefore, Sophia received 14 parts * £20/part = £280.

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