SOLUTION: This is a word question. Only using 5 & 10 dollar bills, if you have a total of $90 and 15 total bills how many of each bill do you have?

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Question 276510: This is a word question. Only using 5 & 10 dollar bills, if you have a total of $90 and 15 total bills how many of each bill do you have?
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 $10 bills
given:
(1) a+%2B+b+=+15
(2) 5a+%2B+10b+=+90
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Multiply both sides of (1) by 5
and subtract from (2)
(2) 5a+%2B+10b+=+90
(1) -5a+-+5b+=+-75
5b+=+15
b+=+3
and, since
(1) a+%2B+b+=+15%7D%7D%0D%0A%7B%7B%7Ba+=+15+-+3
a+=+12
You have 12 $5 bills and 3 $10 bills