SOLUTION: How many way can make change for a $50 bill using $5, $10, and $20 bills?

Question 178083: How many way can make change for a $50 bill using $5, $10, and $20 bills?
Answer by EMStelley(208) (Show Source): You can put this solution on YOUR website!
There are probably several ways to think about this problem but in an emergency, just trying to write them out is never a bad thing. To show what I mean, I will call the number of $5's, f,the number of $10's t, and the number of $20's w.
If w=1, what can f and t be?
If w=1 and f=1, what is t? That doesn't work.
If w=1 and f=2, what is t? It is 2.
And so on and so on.
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