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9 March, 20:36

The big dog weighs 5 times as much as the little dog. The little dog weighs 2 3 as much as the medium-sized dog. The medium-sized dog weighs 12 pounds more than the little dog. How much (in pounds) does the big dog weigh

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  1. 9 March, 23:53
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    The answer to your question is the big dog weighs 120 pounds

    Step-by-step explanation:

    Data

    big dog = b

    medium dog = m

    small dog = s

    Equations

    b = 5s

    m = 12 + s

    s = 2/3 m

    Process

    1. - Substitute m in the last equation

    s = 2/3 (12 + s)

    s = 24/3 + 2/3s

    s - 2/3s = 8

    1/3 s = 8

    s = 8 (3)

    s = 24 pounds

    2. - Substitute s in the first equation

    b = 5 (24)

    b = 120 pounds
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