SOLUTION: Garrett's coin bank contains 500 nickels, dimes, and quarters. He has the same number of nickels as dimes and a total value of $72.50. How many quarters does he have?

Question 1181288: Garrett's coin bank contains 500 nickels, dimes, and quarters. He has the same number of nickels as dimes and a total value of $72.50. How many quarters does he have?
Answer by ikleyn(52903) (Show Source): You can put this solution on YOUR website!
.

x nickels

x dimes

and the rest (500-2x) coins are quarters.



Keeping it in mind, you write the total money equation


    5x + 10x + 25(500-2x) = 7250  cents.


Simplify and find x


    5x + 10x - 50x + 25*500 = 7250

    25*500 - 7250 = 50x - 5x - 10x

    52500 = 35x

      x =  = 150.


ANSWER.  The number of quarters is  500 - 2*150 = 200.

Solved (using one equation for one single unknown, ONLY).

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