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Math Help - Word problem.

  1. #1
    Ash
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    Word problem.

    The coin box of a gum vending machine, which accepts only dimes and quarters, contains $5.20. If the number of quarters is four more than the number of dimes, how many quarters are in the box?

    How do I use the above information to write out an equation and solve it???
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Ash View Post
    The coin box of a gum vending machine, which accepts only dimes and quarters, contains $5.20. If the number of quarters is four more than the number of dimes, how many quarters are in the box?

    How do I use the above information to write out an equation and solve it???
    Call q the number of quarters and d the number of dimes.

    Then we know that
    0.25q + 0.10d = 5.20

    q = d + 4

    Subbing the second equation into the first:
    0.25(d + 4) + 0.10d = 5.20

    0.25d + 1 + 0.10d = 5.20

    0.35d = 4.20

    d = \frac{4.20}{0.35} = 12

    Thus q = 16. (Check: 0.25 \cdot 16 + 0.10 \cdot 12 = 5.20. Check!)

    -Dan
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