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Math Help - Please Someone Help Me With This Problem!!

  1. #1
    Newbie
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    Oct 2007
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    5

    Please Someone Help Me With This Problem!!

    1/5TH of a hive of bees flew to the kadamba flower, 1/3rd flew to the silandhara; three times the difference of these 2 numbers flew to an arbor; one bee continued to fly about, attracted on each side by the fragrant ketaki and malati. How many bees were there?


    please help me on this problem as soon as possible! i'm really desperate to find out how to do this, thanks
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  2. #2
    MHF Contributor
    Joined
    Apr 2005
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    Let x = total number of bees of the hive.

    x/5 +x/3 +3(x/3 -x/5) +1 = x
    x/5 +x/3 +x -3x/5 +1 = x
    x/5 +x/3 -3x/5 +1 = 0
    Clear the fractions, multiply both sides by 5*3,
    3x +5x -9x +15 = 0
    -x +15 = 0
    x = 15 bees --------------answer.

    Check,
    15/5 +15/3 +3(15/3 -15/5) +1 =? 15
    3 +5 +3(5 -3) +1 =? 15
    3 +5 +6 +1 =? 15
    15 =? 15
    Yes, so, OK
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