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10 January, 05:53

For their CD collections, Alan, Tom, and Barbara have a total of 52 CD's. If Barbara had 6 more, then she would have as many as both of the boys together. Tom has three more CD's than Alan. How many CD's does each of the three have?

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  1. 10 January, 06:28
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    A + t + b = 52

    b + 6 = (a + t) ... b = a + t - 6 ... b = a + (a + 3 - 6) ... b = 2a - 3

    t = a + 3

    a + (a + 3) + (2a - 3) = 52

    4a = 52

    a = 52/4

    a = 13 < = = alan

    t = a + 3

    t = 13 + 3

    t = 16 < = = tom

    b = 2a - 3

    b = 2 (13) - 3

    b = 26 - 3

    b = 23 < = = barbara
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