# Dimensional Analysis

• Feb 7th 2011, 05:27 PM
PhilippeNaffis
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? • Feb 7th 2011, 05:54 PM dwsmith Quote: Originally Posted by PhilippeNaffis 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.

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

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