SOLUTION: Hank has 50-peso, 200-peso, and 500-peso bills in his wallet. He has five less 200-bills as 50-bills, and half as many 500-bills as 200-bills. If he has Php 6,250 in all, how m

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Hank has 50-peso, 200-peso, and 500-peso bills in his wallet. He has five less 200-bills as 50-bills, and half as many 500-bills as 200-bills. If he has Php 6,250 in all, how m      Log On

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Question 1193528: Hank has 50-peso, 200-peso, and 500-peso bills in his wallet.
He has five less 200-bills as 50-bills, and half as many 500-bills
as 200-bills. If he has Php 6,250 in all, how many of each denomination does he have?
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.

x 50-pese bills;

(x-5) 200-pesos bills

(x-5)/2 500-peso bills.


Thus the total money equation is

    50x + 200*(x-5) + 500%2A%28%28x-5%29%2F2%29 = 6250  pesos.


Simplify and find x

    2*50x + 2*200*(x-5) + 500*(x-5) = 2*6250

    100x + 400(x-5) + 500*(x-5) = 12500

    100x + 400x - 2000 + 500x - 2500 = 12500

    100x + 400x + 500x = 12500 + 2000 + 2500

           1000x       =        17000

               x       =        17


ANSWER.  17 50-peso bills;  12 200-peso bills and 6 500-peso bills.


CHECK.   17*50 + 12*200 + 6*500 = 6250 pesos, in total.   ! Correct !

Solved     (using one equation for three unknowns).