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15 March, 07:38

A high school purchases two workbooks for every textbook, and two journals for every workbook. If the school purchases 301 total items, how many of each do they need?

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  1. 15 March, 10:56
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    Let

    w = number of workbooks

    t = number of textbooks

    j = number of journals

    If the school purchases 1 textbook, it purchases 2 workbooks

    ∴ w = 2t

    If the school purchases 1 workbook, it purchases 2 journals

    ∴ j = 2w

    ∴ j = 2 * (2t)

    ∴ j = 4t

    The school purchases a total of 301 items

    ∴ w + t + j = 301

    ∴ 2t + t + 4t = 301

    ∴ 7t = 301

    ∴ t = 301 / 7

    ∴ t = 43

    ∴ w = 2t = 43 * 2 = 86

    ∴ j = 4t = 4 * 43 = 172

    Therefore,

    No. of workbooks = 86

    No. of textbooks = 43

    No. of journals = 172
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