Can someone write this out for me?

[Siegmund]

[ QUOTE ]

500 people go to see a movie. The theater takes in a total of $500. The admission is as follows:

Men $5, Women $1, Children a penny.

How many in attendance were men? How many were Woman? And how many were Children?

[/ QUOTE ]

To set it up:

since 500 people saw it, M + W + C = 500.
sincd $500 were collected, 5M + W + .01C = 500.

With two constraints and three unknowns, there are an infinite number of solutions to the equations. Common sense imposes an additional constraint: M, W, C all whole numbers.

Since this last constraint gives you at most six cases to check, it's probably simplest to just test them one at a time rather than fussing too much further with the equations.