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  1. #1
    WS Lounge VIP sdckapr's Avatar
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    Monkey on a Rope

    A rope over the top of a fence has the same length on each side. It weighs one-third of a pound per foot. One one end hangs a monkey holding a banana, and on the other end a weight equal to the weight of the monkey. The banana weighs two ounces per inch. The rope is as long (in feet) as the age of the monkey (in years), and the weight of the monkey (in ounces) is the same age as the monkey's mother. The combined ages of the monkey and its mother are 30 years. One-half of the weight of the monkey, plus the weight of the banana, equals one-fourth of the combined weights of the weight and the weight of the rope. The monkey's mother is twice as old as the monkey was, when it was three times as old as its mother was, when she was half as old as the monkey was, when it was twice as old as its mother was, when she was one-third as old as the monkey was, when it was as old as its mother was, when she was three times as old as the monkey was, when it was one-fourth as old as it is now.

    How long is the banana?

    Steve

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  3. #3
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    Re: Monkey on a Rope

    <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>5 3/4 inches prior to the monkey having it for lunch</font color=yellow></span hi>
    - Ricky

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    WS Lounge VIP sdckapr's Avatar
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    Re: Monkey on a Rope

    That is correct.
    Steve

  5. #5
    Silver Lounger Bruce K's Avatar
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    Re: Monkey on a Rope

    How did you arrive, please?

  6. #6
    WS Lounge VIP sdckapr's Avatar
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    Re: Monkey on a Rope

    Ricky obviously manipulated of all the Algebraic equations from the given statements to arrive at the answer.

    Do you need all the gory details? Since Ricky gave the solution, (and you asked him) he has the option to give the details if you need them, or if he prefers I (as the poster of the problem) will provide a detailed solution.

    Steve

  7. #7
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    Re: Monkey on a Rope

    As I mentioned to Bruce:
    Do you want to provide a solution or do you want me to provide one?

    Steve

  8. #8
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    Re: Monkey on a Rope

    Bruce, I originally solved the puzzle using ink and 6 sheets of paper. Rather than scanning the images, I've reworked my thoughts on an excel worksheet. I am 27 years removed from 7th grade algebra, but a simple knowledge of algebra was all that was required. Where my memory of the subject failed me, I just made assumptions for the many variables in the puzzle and worked my way backward to reach conclusions.

    I'm sure there are others on the boards who could provide a more straightforward or elegant solution. In fact, there are probably some Excel features (i.e. Solver) that could have streamlined the solution.

    In summary, I believe the puzzle provided more information than what was necessary to solve it. And I thought the most difficult part of the puzzle was getting through the age of the monkeys. The wording made it difficult to follow. This was one of the places where I just inserted an assumed number and worked the math from the end.

    Check out the attachment for my best effort... <img src=/S/smile.gif border=0 alt=smile width=15 height=15>
    - Ricky

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