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31 March, 01:33

Mia spent 1/4 of her money on a sandwich. He spent 2 times as much on a gift for his brother as on comic books. He had 3/8 of his money left. What fraction of his money did he spend on the books.

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  1. 31 March, 02:59
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    Answer:she spent 1/8 of her money on the books

    Step-by-step explanation:

    Let x represent the fraction of his money that he spent on the books.

    Mia spent 1/4 of her money on a sandwich. He spent 2 times as much on a gift for his brother as on comic books. This means that the fraction of his money that she spent on a gift for her brother is 2x

    Total amount that she spent is

    1/4 + 2x + x = 1/4 + 3x = (1 + 12x) / 4

    Amount that he has left would be

    1 - (1 + 12x) / 4 = [4 - (1 + 12x) ]/4

    He had 3/8 of his money left. It means that

    [4 - (1 + 12x) ]/4 = 3/8

    (4 - 1 - 12x) / 4 = 3/8

    (3 - 12x) / 4 = 3/8

    Cross multiplying, it becomes

    8 (3 - 12x) = 12

    24 - 96x = 12

    96x = 24 - 12 = 12

    x = 12/96 = 1/8
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