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    swetbbygurl's Avatar
    swetbbygurl Posts: 2, Reputation: 1
    New Member

    Jan 16, 2006, 04:49 PM
    Word problems
    A fruit vendor bought 36 pineapples for $30. He sold some at $1.29 each and the rest at $1.09 each, thereby gaining $13.64. How many did he sell at each price? :confused:
    fredg's Avatar
    fredg Posts: 4,929, Reputation: 674
    Ultra Member

    Jan 17, 2006, 08:21 AM
    Algebra word problem
    Let x = number sold for 1.29
    Then (36-x) = number sold for 1.09

    If he gained $13.64, it means he made a total of $43.64 (add 30 to 13.64)

    1.29(x) + 1.09(36-x) = 43.64

    multiply it out:
    1.29x + 39.24 - 1.09x = 43.64

    Combine terms:
    0.2x + 39.24 = 43.64

    0.2x = 4.4

    Then, divide by 0.2
    x = 22
    Then, 36-22=14
    y = 14
    That is 22 sold for 1.29
    and 13 sold for 1.09
    You can check the answer by: 1.29(22) + 1.09(14) = 43.64
    The trick here is "gained", so adding the gain to what he paid would be what the tolal is.
    Best wishes.
    swetbbygurl's Avatar
    swetbbygurl Posts: 2, Reputation: 1
    New Member

    Jan 18, 2006, 01:47 PM
    Thanks for your help :D

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