SOLUTION: a cashier has a total of 122 bills, made of fives and tens. the total of the money is $940. how many ten-dollar bills does the cashier have?

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Question 324111: a cashier has a total of 122 bills, made of fives and tens. the total of the money is $940. how many ten-dollar bills does the cashier have?
Found 2 solutions by msgmhenderson, Fombitz:
Answer by msgmhenderson(11) About Me  (Show Source):
You can put this solution on YOUR website!
a cashier has a total of 122 bills, made of fives and tens. the total of the money is $940. how many ten-dollar bills does the cashier have?
F = FIVES
T = TENS
5F + 10T = 940
5F = 940 - 10T
F = (940 -10T)/5
THERE IS 66 TENS AND 56 FIVES
66 * 10 = 660
56 * 5 = 280
660 + 280 = 940
66 + 56 = 122 BILLS

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let T be the number of tens, F the number of fives.
1.T%2BF=110
2.10T%2B5F=940
Multiply eq. 1 by -5 and add to eq. 2 to eliminate F.
-5T-5T%2B10T%2B5F=-550%2B940
5T=390
highlight%28T=78%29
Then from eq. 1,
78%2BF=110
highlight%28F=32%29