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Math Help - "Story of the Three Farmers"

  1. #1
    Newbie zenith20's Avatar
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    Question "Story of the Three Farmers"

    Story of the Three Farmers
    Three farmers paid $ 1,000 for a small pasture. One farmer grazed his 9 mules, another his 12 cows for twice the time and last man put in some goats for 21 times as the second man's cows and paid half the cost of the pasture.
    Can you find out how many goats did the last man have, if 6 cows eat as much as 4 mules, and 10 goats as much as 3 cows? And how much did the first and second man each pay?


    any detailed solutions? thank you in advance



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  2. #2
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    Are we to assume that the first two farmers grazed for the same length of time, that the first two farmers paid the same amount, and that the amount each of the three paid was proportional to the amount their stock ate?
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  3. #3
    Newbie zenith20's Avatar
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    Quote Originally Posted by HallsofIvy View Post
    Are we to assume that the first two farmers grazed for the same length of time, that the first two farmers paid the same amount, and that the amount each of the three paid was proportional to the amount their stock ate?
    Dear HallsofIvy, i'm not sure about your Questions, i found the puzzle in an old book!
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