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  1. #1
    Silver Lounger
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    The Cheating Grocer

    Six grocers in a town each sell a different brand of tea in 4-ounce packets at 25 cents per packet. One of the grocers gives short weight, each packet of his brand weighing only 3.75 ounces.

    If I can use a scale for only one weighing, (a) how can I find the cheating grocer and ([img]/forums/images/smilies/cool.gif[/img] what is the minimum amount of money I must spend to solve the issue?
    - Ricky

  2. #2
    WS Lounge VIP sdckapr's Avatar
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    Re: The Cheating Grocer

    <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>I will need to buy 21 bags $0.25 = $5.25
    Buy 1 from grocer 1, 2 from grocer 2, 3 from grocer3, etc.

    Cheating #/weight
    1 / 83.75
    2 / 83.5
    3 / 83.25
    4/ 83
    5/ 82.75
    6/ 82.5</font color=yellow></span hi>

    Steve

  3. #3
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    Re: The Cheating Grocer

    Steve ..... almost, but not quite.
    - Ricky

  4. #4
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    Re: The Cheating Grocer

    <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>Buy one less from each than Steve proposes: 0 from the first one, 1 from the second one, etc. So we spend 15 * $ 0.25 = $ 3.75. Rest of the solution is similar.</font color=yellow></span hi>

  5. #5
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    Re: The Cheating Grocer

    I disagree on the logic of NOT buying from one on principles. I thought of this solution (yes it was later, which is why I did not mention it), but if the weight was correct (all 4) it does NOT prove that grocer 1 was shortchanging (yes your puzzle states that 1 is, but that is NOT enough!)

    Especially since there will also be some "variation" in the measurement. In reality many companies always put in MORE than required so that the +/- 95% Confidence is > than the target!

    Steve

  6. #6
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    Re: The Cheating Grocer

    <hr>(yes your puzzle states that 1 is, but that is NOT enough!)<hr>

    This time, Steve, it's enough! <img src=/S/smile.gif border=0 alt=smile width=15 height=15>
    - Ricky

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