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March 30, 2017

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A university bookstore recently sold a wirebound graph-paper notebook for $2.64, and a college-ruled notebook for $3.61. At the start of spring semester, a combination of 50 of these notebooks were sold for a total of $168.86. How many of each type were sold?

  • Math - ,

    x = number of graph notebooks
    y = number of college ruled notebooks
    2.64x = total value sold graph notebooks
    3.61y = total value sold college notebooks

    x + y = 50
    2.64x + 3.61y = 168.86

    Solve these 2 equations together by elimination or substitution method

    I will use substitution method
    x + y = 50
    x = 50 - y

    2.64x + 3.61y = 168.86
    2.64(50 - y) + 3.61y = 168.86
    132 - 2.64y + 3.61y = 168.86
    132 + .97y = 168.86
    .97y = 36.86
    y = 38

    substitute y = 38 in x + y = 50, to find x

    x + 38 = 50
    x = 12

    12 graph notebooks were sold
    38 college ruled notebooks were sold

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