SOLUTION: Ivan has some twenty-dollar bills and some fifty-dollar bills. If he has a total of 70 bills and their value is $3200, how many of each bill does he have?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Ivan has some twenty-dollar bills and some fifty-dollar bills. If he has a total of 70 bills and their value is $3200, how many of each bill does he have?      Log On


   



Question 420362: Ivan has some twenty-dollar bills and some fifty-dollar bills. If he has a total of 70 bills and their value is $3200, how many of each bill does he have?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Ivan has some twenty-dollar bills and some fifty-dollar bills. If he has a total of 70 bills and their value is $3200, how many of each bill does he have?
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Equations:
Quantity: t + f = 70 bills
Value:: 20t+50f = 3200 dollars
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Multiply thru 1st by 20
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20t + 20f = 20*70 bills
20t + 50f = 3200 dollars
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Subtract and solve for "f":
30f = 1800
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f = 60 (# of fifty-dollar bills
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solve for "t":
t = 70-60 = 10 (# of twenty-dollar bills)
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Cheers,
Stan H.