SOLUTION: Translate to a system of equations and solve. A cashier has 30 bills, all of which are $10 or $20 bills. The total value of the money is $490. How many of each type of bill does t

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Translate to a system of equations and solve. A cashier has 30 bills, all of which are $10 or $20 bills. The total value of the money is $490. How many of each type of bill does t      Log On

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Question 1191389: Translate to a system of equations and solve.
A cashier has 30 bills, all of which are $10 or $20 bills. The total value of the money is $490. How many of each type of bill does the cashier have?
ten dollar bills-
twenty dollar bills-

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Translate to a system of equations and solve.
A cashier has 30 bills, all of which are $10 or $20 bills. The total value of the money is $490. How many of each type of bill does the cashier have?
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Here's a similar problem solved:
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A cashier has 35 bills, all of which are $10 or $5 bills. The total value of the money is $135. How many of each type of bill does the cashier have?
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T + F = 35 --- # of bills
10T + 5F = 275 ----- value of bills
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T + F = 35 --- # of bills
2T + F = 55 --- 2nd eqn divided by 5
---------------------------------------------- Subtract
-T = -20
T = 20 $10 bills
F = 15 $5 bills