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15 August, 07:07

John paid $34 for two algebra and three geometry books. He paid $36 for three algebra and two geometry books. What is the cost of each book?

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  1. 15 August, 09:42
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    Let the price of single algebra book = x

    and the price of geometry book = y

    Then equation (1) = 2x+3y=34

    3y = (34 - 2x)

    y = (34 - 2x) / 3

    And equation (2) = 3x + 2y=36

    put value of y in equation (2)

    3x + 2 (34-2x) / 3 = 36

    9x + 2 (34-2x) = 108

    9x + 68 - 4x=108

    5x=40

    x=8

    put x=8 in equation (1)

    2 (8) + 3y = 34

    16+3y=34

    3y=18

    y=6

    Hence, price of algebra book = 8$ and price of geometry book=6$
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