SOLUTION: Juan goes to a bank and gets change for a $50 bill consisting of all $5 bills and $1 bills. There are 22 bills in all. How many of each kind are there?

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Question 426856: Juan goes to a bank and gets change for a
$50 bill consisting of all $5 bills and $1 bills. There are
22 bills in all. How many of each kind are there?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = number of $5 bills
Let b = number of $1 bills
given:
(1) +a+%2B+b+=+22+
(2) +5a+%2B+b+=+50+
----------------
(1) b+=+22+-+a+
By substitution:
(2) +5a+%2B+22+-+a+=+50+
+4a+=+28+
+a+=+7+
and
(1) +a+%2B+b+=+22+
+b+=+22+-+7+
+b+=+15+
There are 7 $5 bills and 15 $1 bills