SOLUTION: Jane has twenty bills in her wallet. She has a total of $80. If she has two more $5 bills than $10 bills, and four more $1 bills than $5 bills, how many bills of each does she have

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Question 359445: Jane has twenty bills in her wallet. She has a total of $80. If she has two more $5 bills than $10 bills, and four more $1 bills than $5 bills, how many bills of each does she have?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let X be the number of $1 bills, F be the number of $5, T the number of $10.
1.X%2BF%2BT=20
2.1%2AX%2B5%2AF%2B10%2AT=80
3.F=2%2BT
4.X=4%2BF
Substitute eqs. 3 and 4 into eq. 2,
4%2B%282%2BT%29%2B5%282%2BT%29%2B10T=80
6%2BT%2B10%2B5T%2B10T=80
16T%2B16=80
16T=64
highlight%28T=4%29
Then from eq. 2,
F=2%2B4
highlight%28F=6%29
Then from eq. 3,
X=4%2B6
highlight%28X=10%29
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Ten $1 bills, six $5 bills, and four $10 bills.