SOLUTION: Tanya has ten bills in her wallet. She has a total of $40. If she has one more $5 bill than $10 bills, and two more $1 bills than $5 bills, how many of each does she have?

Question 126189: Tanya has ten bills in her wallet. She has a total of $40. If she has one more $5 bill than $10 bills, and two more $1 bills than $5 bills, how many of each does she have?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Tanya has ten bills in her wallet. She has a total of $40. If she has one more $5 bill than $10 bills, and two more $1 bills than $5 bills, how many of each does she have?
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# of 1,5,10 bills be a,b, and c.
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EQUATIONS:
a + b + c = 10
b = c+1
a = b+2
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Rearrange:
a + b + c = 10
0 + b - c = 1
a - b + 0 = 2
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Using The Matrix function on a TI calculator I get:
a = 5
b = 3
c = 2
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5 one-dollar bills
3 five-dollar bills
2 ten-dollar bills
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Cheers,
Stan H.

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