SOLUTION: Cody works in movie theatre selling tickets. At the end of the evening he has $524 in two and five dollar bills the total number of bills was 145. How many of each kind of bill doe

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Question 1010372: Cody works in movie theatre selling tickets. At the end of the evening he has $524 in two and five dollar bills the total number of bills was 145. How many of each kind of bill does he have?
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
2 dollar bills: x
5 dollar bills: y
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x+y= 145 Subtract x from both sides:
y= 145-x We'll use this value for y next.
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2x+5y= 524
2x+5(145-x)= 524
2x+725-5x= 524 Now subtract 925 on both sides and add/subtract x on left:
-3x= -201 Divide both sides by -3 (remember, -/- = +)
x= 67 He has 67 two dollar bills and
145-67= 78 He has 78 five dollar bills.
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Check:
67*2= 134
78*5= 390
_ _ _ -----
Total:524 We have the correct answer
J