SOLUTION: A bank teller has some five-dollar bills and some twenty dollar bills. The teller has 10 more twenties than fives. The total of the money is $775. Find the number of five dollar bi

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Question 335784: A bank teller has some five-dollar bills and some twenty dollar bills. The teller has 10 more twenties than fives. The total of the money is $775. Find the number of five dollar bills.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let T be the number of $20 bills, F be the number of $5 bills.
1.T=F%2B10
2.20T%2B5F=775
Substitute eq. 1 into eq. 2,
20%28F%2B10%29%2B5F=775
20F%2B200%2B5F=775
25F=575
highlight%28F=23%29
Then from eq. 1,
T=23%2B10
highlight%28T=33%29
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.
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The teller has 33 $20 bills and 23 $5 bills.