SOLUTION: Could you please explain this to me step by step so I can understand it? Juan goes to a bank and gets change for a $50 bill consisting of all $5 bills and $1bills. There are 22

Question 181863: Could you please explain this to me step by step so I can understand it?
Juan goes to a bank and gets change for a $50 bill consisting of all $5 bills and $1bills. There are 22 bills in all. How many of each kind are there?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Juan goes to a bank and gets change for a $50 bill consisting of all $5 bills and $1bills. There are 22 bills in all. How many of each kind are there?
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f = $5 bills
n = $1 bills
f+n = 22 (22 bills total)
5f + n = 50 (each f is $5, each n is $1, and they add up to $50)
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We have 2 eqns in 2 unknowns.
Forget the money, the bills, the bank, it's a math problem now.
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5f + n = 50
f + n = 22 Subtract eqn 2 from eqn 1
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4f = 28
f = 7
------
n = 15

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