SOLUTION: luke works at an ice cream shop. At the end of his shift, he counted the bills in his cash drawer and found119 bills with a total of $347. If all the bills are $5 bills and $1 bill

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Question 339691: luke works at an ice cream shop. At the end of his shift, he counted the bills in his cash drawer and found119 bills with a total of $347. If all the bills are $5 bills and $1 bills, how many of each denomination were in his cash drawer?
Found 2 solutions by josmiceli, mananth:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = number of $5's
Let b = number of $1's
given:
(1) a+%2B+b+=+119
(2) 5a+%2B+b+=+347
Subtract (1) from (2)
(2) 5a+%2B+b+=+347
(1) -a+-+b+=+-119
4a+=+228
a+=+57
and, since
a+%2B+b+=+119
57+%2B+b+=+119
b+=+62
There are 57 $5's and 62 $1's
check:
(2) 5a+%2B+b+=+347
(2) 5%2A57+%2B+62+=+347
285+%2B+62+=+347
347+=+347

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let $1 bill be x
$ 5 bill will be 119-x
..
Value equation
x+5(119-x)=347
x+595-5x =347
-4x=-595+347
-4x=-248
x= -248/-4
x= 62 bills of $1
57 bills of $5