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  1. #1
    justadazzlin
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    At Gwen's garage sale, all books were one price, and all magazines were another price. Harriet bought four books and three magazines for $1.45, and June bought two books and five magazines for $1.25. What was the price of a book and what was the price of a magazine?
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by justadazzlin
    At Gwen's garage sale, all books were one price, and all magazines were another price. Harriet bought four books and three magazines for $1.45, and June bought two books and five magazines for $1.25. What was the price of a book and what was the price of a magazine?
    Call the price of one book "b" and the price of one magazine "m." Then we know, from Harriet:
    4b+3m=1.45

    From June:
    2b+5m=1.25

    So, we need to solve this system of equations.

    I solved the first equation for b and got:
    b=\frac{1}{4} \left ( 1.45-3m \right )

    Now, plug that value of b into the second equation:
    2 \frac{1}{4} \left ( 1.45-3m \right ) + 5m = 1.25
    which you can now solve for m. I got: m = 0.15.

    You can now plug that value of m into any of the above equations to get b. I got b = 0.25.

    -Dan
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