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Math Help - [SOLVED] SAT math page 718 #8

  1. #1
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    [SOLVED] SAT math page 718 #8

    The price of ground coffee beans is d dollars for 8 ounces and each ounce makes c cups of brewed coffee. In terms of c and d, what is the dollar cost of the ground coffee beans required to make 1 cup of brewed coffee?

    a) \frac{d}{8c}

    b) \frac{cd}8

    c) \frac{8c}{d}

    d) \frac{8d}{c}

    e) 8cd

    I think its because because: if you have d dollars for 8 ounces. Then 1 ounce would be \frac{15}{8} And if ONE ounce is needed to make 1 cup of brewed coffee so then \frac{cd}{8}

    but why is the correct answer \frac{d}{8c}??

    Thanks in advance
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  2. #2
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    I answered this very same question here: http://www.mathhelpforum.com/math-he...onversion.html
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  3. #3
    Junior Member
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    Sep 2008
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    Mesnil, Mauritius
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    Shortcuts!!

    There is no need to convert units here. Follow me carefully:

    8 ounces = d dollars ... (1)
    1 ounce = c cups ...(2)

    Therefore,

    8 ounces = 8c cups ... (3) = multiply eq(2) by 8

    Therefore again,

    d dollars = 8c cups .. (3) and (1)

    switch side for clarity:

    8c cups = d dollars

    1 cup = d/8c dollars (Answer)

    Got it?
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