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Kyle has £350.He gives  25 of the money to his sister.He then shares the remaining money in the ratio 3:4 and gives the lowest amount to his brother.He keeps 30% of what remains thereafter, and gives the rest to his mum.Work out the amount each person gets.

Question

Kyle has £350.He gives  25 of the money to his sister.He then shares the remaining money in the ratio 3:4 and gives the lowest amount to his brother.He keeps 30% of what remains thereafter, and gives the rest to his mum.Work out the amount each person gets.

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Solution

Sure, let's break it down:

  1. Kyle gives 25% of his money to his sister. 25% of £350 is £87.5. So, his sister gets £87.5.

  2. After giving his sister, Kyle has £350 - £87.5 = £262.5 left.

  3. He then shares this remaining money in the ratio 3:4. The total parts in the ratio is 3 + 4 = 7. So, each part is worth £262.5 / 7 = £37.5. Therefore, his brother gets 3 parts which is £37.5 * 3 = £112.5 and Kyle keeps 4 parts which is £37.5 * 4 = £150.

  4. Kyle then keeps 30% of his £150, which is £45, and gives the rest to his mum. So, his mum gets £150 - £45 = £105.

So, Kyle's sister gets £87.5, his brother gets £112.5, his mum gets £105 and Kyle keeps £45.

This problem has been solved

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