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.
Solution
Sure, let's break it down:
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Kyle gives 25% of his money to his sister. 25% of £350 is £87.5. So, his sister gets £87.5.
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After giving his sister, Kyle has £350 - £87.5 = £262.5 left.
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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.
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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.
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