SOLUTION: Maria has $169 in ones,fives, and tens. She has twice as many one-dollar bills as she has five dollar bills, and five more ten-dollar bills than five-dollar bills. How many of each

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Question 201395: Maria has $169 in ones,fives, and tens. She has twice as many one-dollar bills as she has five dollar bills, and five more ten-dollar bills than five-dollar bills. How many of each type bill does she have?
Answer by nerdybill(7384) About Me  (Show Source):
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Maria has $169 in ones,fives, and tens. She has twice as many one-dollar bills as she has five dollar bills, and five more ten-dollar bills than five-dollar bills. How many of each type bill does she have?
.
Let x = number of five dollar bills
then
2x = number of one dollar bills
x+5 = number of ten dollar bills
.
2x + 5x + 10(x+5) = 169
2x + 5x + 10x+50 = 169
17x+50 = 169
17x = 119
x = 7 (number of five dollar bills)
.
One dollar bills:
2x = 2(7) = 14
.
Ten dollar bills:
x+5 = 7+5 = 12