Posted on 2006-04-11
Last Modified: 2007-12-19
this is a puzzle from shakuntla devi.i was unable 2 understand its clue at all.

a wholesale merchant came 2 me one day and posed his problem.everyday in his business he had to weigh amounts from one pound to one hundred and twenty-one pounds,to the nearest do this,what is the minimum number of weights he needs and how heavy should each weigh?
Question by:shilpi84
    LVL 84

    Assisted Solution

    assuming the merchant is using a balance scale, 5 weights suffice
    1, 3, 9, 27, 81
    LVL 37

    Accepted Solution

    Hi, yes. ozo has correct answer.. I will explain it a bit..

    Suppose you want to measure 1 pound...
    1               x

    Suppose you want to measure 2 pound...
    3             1+x

    Suppose you want to measure 3 pound...
    3                x

    Suppose you want to measure 4 pound...
    3+1            x

    Suppose you want to measure 5 pound...
    9            3+1+x

    Suppose you want to measure 6 pound...
    9               3+x



    Author Comment

    can u please explain me the solution i m not able 2 understand this
    LVL 37

    Expert Comment

    by:Harisha M G
    shilpi84, x represents the thing to be measured and the values presented are the weights and/or the thing to be put in each pan of a balance

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