Re: Can someone write this out for me?
[ QUOTE ]
Holy cow! How did you arrive at something so simple?
[/ QUOTE ]
By cheating. [img]/images/graemlins/wink.gif[/img]
Specifically, here:
[ QUOTE ]
W + 499*C/400 = 500
C = 400, W = 1 => M = 99
[/ QUOTE ]
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:
C cannot be zero since we know at least one child attended. C cannot be less than 400, or else W is not an integer according to the equation Bruce derived. Also C clearly must be a multiple of 100, since the take is an even dollar amount. C cannot be 500, since not enough money is collected. Finally, C cannot be greater than 500, because we already know that a total of 500 people went to the theater. Therefore C=400 is the only solution, leaving W = 1, and M = 99.
|