SOLUTION: the coin box of a vending machines contains 6 dimes as many quarters as dimes. If the total amount of money in quarters and dimes is 28.80 how many quarters and how many dimes are

Question 1202444: the coin box of a vending machines contains 6 dimes as many quarters as dimes. If the total amount of money in quarters and dimes is 28.80 how many quarters and how many dimes are in the box

Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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the coin box of a vending machines contains 6 times as many quarters as dimes.
If the total amount of money in quarters and dimes is 28.80, how many quarters and how many dimes are in the box
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There are x dimes and 6x quarters.

Write the total cents equation

    10x + 25*6x = 2880  cents.



Simplify and find x

    10x + 150x = 1880

       160x = 2880

          x = 2880/160 = 18.



ANSWER.  18 dimes and 6*18 = 108 quarters.


CHECK.   18*10 + 108*25 = 2880  cents, total.   ! correct !

Solved.

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