Re: Can someone write this out for me?
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Holy cow! How did you arrive at something so simple?
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By cheating. [img]/images/graemlins/wink.gif[/img]
Specifically, here:
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W + 499*C/400 = 500
C = 400, W = 1 => M = 99
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Bruce has one equation with two unknowns, which has an infinite number of solutions. He simply chose the correct solution without referencing why he chose it. Which would be something like this:
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I chose it because it satisfied the conditions of the problem. This equation has only 1 positive integer solution which I thought was pretty obvious, so I didn't bother to explicitly prove uniqueness, but thank you. What I shared was the exact and total reasoning that I followed in arriving at the correct solution, so to suggest that I somehow "cheated" is not appropriate.
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