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total of 17 heads and 42 feet with 3 times more ducks as pigs so how many duck do you have

  • math -

    there are 4 pigs and 13 ducks

  • math -

    well, the only way there can be 17 heads and 42 feet and 3 times more ducks, would be: 4 pigs (4 heads and 4 feet for each
    4x4= 16 feet

    13 ducks ( 13 heads and 2 feet each
    13x2 =26 feet

    Heads = 4+13=17 for 4 pigs
    feet =16+26=42 for 13 ducks
    4(Pigs) X 3 = 12
    so there are 3 times more ducks

  • math -

    number of pigs --- x
    number of ducks -- 3x

    for heads: x + 3x = 17
    4x = 17
    x = 17/4 , which is not a whole number, so the question is bogus
    There is no answer, the way it is worded.

    However, if we skip the fact that there are 3 times as many ducks as pigs, we can solve it

    number of pigs -- x
    number of ducks -- y

    for heads: x + y = 13

    for feet:
    4x + 2y = 42
    2x + y = 21

    2x + y = 21
    x + y = 17
    subtract them:
    x = 4
    then y = 13

    that is the answer that Surya Teja had given, but it would not have met the condition that there 3 times as many ducks as pigs, since 3x4 ≠ 17

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