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Math Help - Dimensional Analysis

  1. #1
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    Dimensional Analysis

    Pretend-- Your 18 year old friend started working at a fast food restaurant wrapping burgers. Every 3 hours, he wraps 350 hamburgers. He works 8 hours a day. He works 5 days a week and gets paid every 2 weeks with a salary of $440.34.

    a. How many hamburgers will he have to wrap to make his first one million dollars?

    This is what I have at the moment:

    3 hour x 1 day x 1 week x 1
    --------------------
    350hb x 8 hour x 5 day x 2 wk

    Which I end up to get 9000 hamburgers, but not sure if this is right or not?
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  2. #2
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    Quote Originally Posted by PhilippeNaffis View Post
    Pretend-- Your 18 year old friend started working at a fast food restaurant wrapping burgers. Every 3 hours, he wraps 350 hamburgers. He works 8 hours a day. He works 5 days a week and gets paid every 2 weeks with a salary of $440.34.

    a. How many hamburgers will he have to wrap to make his first one million dollars?

    This is what I have at the moment:

    3 hour x 1 day x 1 week x 1
    --------------------
    350hb x 8 hour x 5 day x 2 wk

    Which I end up to get 9000 hamburgers, but not sure if this is right or not?
    I would want hamburgers per dollars as my units.

    \displaystyle\frac{350hb\cdot 8hr\cdot 5days\cdot 2wks}{3hr\cdot 1day\cdot 1wk\cdot 440.34}=21.1957 \ \text{hb per dollar}

    1,000,000 \ \text{dollars}\cdot 21.1957 \ \text{hb per dollar}=\cdots
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