SOLUTION: I need help figuring out this problem please. Andrew has $446 in ten-dollar, five-dollar, and one-dollar bills. There were 94 bills in all, and 10 more five-dollars bills than ten

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Question 884473: I need help figuring out this problem please.
Andrew has $446 in ten-dollar, five-dollar, and one-dollar bills. There were 94 bills in all, and 10 more five-dollars bills than ten-dollars bills. How many one-dollar bills did Andrew have?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
T - number of ten dollar bills
F - number of five dollar bills
Z - number of one dollar bills
.
.
.
1.10T%2B5F%2BZ=446
2.T%2BF%2BZ=94
3.F=10%2BT
Substitute eq. 3 into eqs. 1 and 2,
10T%2B5%2810%2BT%29%2BZ=446
10T%2B50%2B5T%2BZ=446
4.15T%2BZ=396
.
.
T%2B%2810%2BT%29%2BZ=94
5.2T%2BZ=84
Subtract eq. 5 from eq. 4,
15T%2BZ-2T-Z=396-84
13T=312
highlight%28T=24%29
Then backsubstituting,
15%2824%29%2BZ=396
360%2BZ=396
highlight%28Z=36%29
and finally,
F=10%2B24
highlight%28F=34%29