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Math Help - Archimedes' Cattle Problem

  1. #1
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    Archimedes' Cattle Problem

    Have you ever solved the Archimedes' Cattle Problem?




    It is a problem in 2 parts .. this is the first part that need to be solve:




    The cattle of the Sun were divided in 4 herds of different color. (White, Black, Yellow and Dappled)


    - The number of white bulls was equal to (1/2 + 1/3) the number of black bulls plus the total number of yellow bulls


    - The number of black bulls was (1/4 + 1/5) the number of dappled bulls plus the total number of yellow bulls


    - The number of dappled bulls was (1/6 + 1/7) the number of white bulls plus the total number of yellow bulls


    - The number of white cows was (1/3 + 1/4) the number of cattle in the black herd


    - The number of black cows was (1/4 + 1/5) the number of cattle in the dapple herd


    - The number of dappled cows was (1/5 + 1/6) the number of cattle in the yellow herd


    - The number of yellow cows was (1/6 + 1/7) the number of cattle in the white herd


    What is the minimum number of cattle of the Sun (The smallest solution for the sum of cattle in the 4 herds)
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  2. #2
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    Re: Archimedes' Cattle Problem

    0
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  3. #3
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    Re: Archimedes' Cattle Problem

    Well, let assume that 0 is not a herd
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