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Thread: barrel problem

  1. #1
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    Jul 2008
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    barrel problem

    there are 21 barrels (7 full,7half full and 7 empty)with a farmer..he wishes to divide them among his three sons such that all the three will have the same number of full barrels,same number of half barrels and same number of empty barrels....how will he distribute to his three sons?


  2. #2
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    Jul 2008
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    1

    Re: barrel problem

    Answer:
    use 4 half filled barrels to make 2 full barrels. We are then left out with 9 fully filled barrels, 3 half filled and 9 empty. Now we can evenly divide them easily.


    Quote Originally Posted by hari_nowayout View Post
    there are 21 barrels (7 full,7half full and 7 empty)with a farmer..he wishes to divide them among his three sons such that all the three will have the same number of full barrels,same number of half barrels and same number of empty barrels....how will he distribute to his three sons?



  3. #3
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    Jul 2008
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    Re: barrel problem

    cool.......this was asked to me in a competiton...thx for the reply....are u a college student???


  4. #4
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    Jul 2008
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    Thumbs up Re: barrel problem

    Hi,

    I came up with several answers......

    1) Get 7 full barrels and pour half of each barrel to the 7 empty barrels. Then it will be like 21 half barrels. That can be divided easily, 7 each

    2) Make 2 more full barrels using 4 half barrels (pour one half to another half barrel. The same way make 2 full barrels). Then there will be 2 remaining empty barrels. That counts 9 full barrels, 3 half barrels and 9 empty barrels. Divide them between the 3. So each of them will be having 3 full barrels, 1 half barrel and 3 empty barrels.

    3) Get 4 full barrels and 4 empty barrels and pour half of each full barrels to each empty barrels so that it will make 8 more empty barrels. That counts 3 full barrels, 15 half barrels and 3 empty barrels. Divide them between the 3 so that each of them will be having 1 full barrel, 5 half barrels and 1 empty barrel.

    4) Okey then one more.....
    Get 1 full barrel and pour half of it to 1 empty barrel. That makes 2 more half barrels. All together there are 6 full barrels, 9 half barrels, 6 empty barrels and each will be having 2 full barrels, 3 half barrels and 2 empty barrels..



    Try out all the possible combinations.. That will be fun..

    Manik


  5. #5
    Junior Member
    Join Date
    Aug 2008
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    1

    Re: barrel problem

    take 1 full barrel n 1 empty barrel. emty half of the full barrel in to the empty barrel.

    now u have 6 full barrels, 9 half, 6 empty.

    2-3-2 division


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