Can You Give Me Half A Camel???

Discussion in 'Math' started by steeve_wai, Sep 26, 2007.

  1. steeve_wai

    Thread Starter Active Member

    Sep 13, 2007
    47
    0
    here is a problem.

    a man leaves his 3 sons with 17 camels after he passes away.the share of the eldest son is 4/9,that of the second is 1/3,and that of the third is 1/6.the problem is that they dont know how to divide them among themselves without cutting up a camel(!!!).a priest came along,riding on a camel and sovled their problem without cutting up a camel...HOW DID HE DO IT?
     
  2. thingmaker3

    Retired Moderator

    May 16, 2005
    5,072
    6
    Solution 1 - Priest convinces sons to donate camels to the greater cause, providing a substantial tax deduction

    Solution 2 - Priest purchases 8 camels at market value, which sum is divisible by nine to allow math to work out fairly

    Solution 3 - Priest sells own camel at market value, which sum is divisible by nine to allow math to work out fairly

    Solution 4 - Priest shares prize-winning recipe for pit-barbecued camel jerkey

    Solution 5 - Priest provides, in exchange for a cut of the profit, contact data for foreign investor who will pay much more than market value for all camels
     
  3. recca02

    Senior Member

    Apr 2, 2007
    1,211
    0
    i dont like the way it is solved (i find it quite unconvincing).
    but here goes the solution
    the priest adds his camel to the 17 so we now have 18 camels.
    then the first gets 4/9=8
    second 1/3=6
    third=1/6=3
    they all add upto 17
    so the last one is taken up by the priest back and problem solved?
    i myself m not convinced since it beats the idea of having 4/9 or 1/6
    or 1/3 of 17.
     
  4. Ashok Gupta

    New Member

    Sep 25, 2007
    3
    0
    very nice.........first time i dont understand the ques clearly.However i have solved it.
    The total sum of there shares is 4/9+1/3+1/6=17/18
    so, the share of first for 17/18(camel)=4/9
    " " " 17(camels)=4/9*18/17*17
    Share of first =8 camels

    similarly, that of second=1/3*18/17*17
    share of second=6 camels

    And, that of third=1/6*18/17*17
    Share of third=3 camels

    and priest goes back on camel.
     
  5. thingmaker3

    Retired Moderator

    May 16, 2005
    5,072
    6
    Of course! I get it now. The priest is taking the 1/18 share to cover last rites & burial expenses!

    I never even bothered to check if the fractions added up to a whole. Shame on me!:rolleyes:
     
  6. recca02

    Senior Member

    Apr 2, 2007
    1,211
    0
    that is b'coz u are not as scheming as the priest :D
     
  7. Voltboy

    Active Member

    Jan 10, 2007
    197
    0
    I would still cut the camel in half :D
     
  8. mrmeval

    Distinguished Member

    Jun 30, 2006
    833
    2
    Can't add those directly
    they convert to
    4/9 3/9 2/9 which is 9/9
    17/9
    One part of 9 is 1.888888888888888889 so that getting an even number is difficult.

     
  9. mrmeval

    Distinguished Member

    Jun 30, 2006
    833
    2
    The priest in all his wisdom tells them to wait until one camel is born then to split the lot up as so 8, 6, 4

    In their gratitude they each give the priest 1/3 of their camels. How many camels have to be born to meet this obligation? How many camels does the priest get away with? Which brother has to wait the longest and pay the most?
     
  10. Mike M.

    Active Member

    Oct 9, 2007
    104
    0
    He just multiplied each person's share by 18. Isn't it that simple?
     
  11. recca02

    Senior Member

    Apr 2, 2007
    1,211
    0
    yes but it states the share is 1/6th etc.
    so it must be from that seventeen 1/6th of 17 is not 3.
     
  12. Mike M.

    Active Member

    Oct 9, 2007
    104
    0
    No fraction less than 1 of any prime will yeild a whole number except the prime's inverse so the question is actually flawed in that respect right from the start, not to mention that 17/18 doesn't = 1.
     
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