SOLUTION: Terrence has a total of ninety P20, P50, and P100-bills. He has three and a half times as many P50 as P20 bills, and one-half as many P100 as P20-bills. How much money does he hav

Algebra ->  Finance -> SOLUTION: Terrence has a total of ninety P20, P50, and P100-bills. He has three and a half times as many P50 as P20 bills, and one-half as many P100 as P20-bills. How much money does he hav      Log On


   

Question 1106727: Terrence has a total of ninety P20, P50, and P100-bills. He has three and a half times as many P50 as P20 bills,
and one-half as many P100 as P20-bills. How much money does he have?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, y, z, how many each of P20, P50, P100 bills
system%28x%2By%2Bz=90%2C3.5=y%2Fx%2C1%2F2=z%2Fx%29

Use the last two equations to rewrite the first equation all in one variable, x.

system%28y=3.5x%2Cz=x%2F2%29
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x%2B3.5x%2Bx%2F2=90------solve this for x.
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