SOLUTION: the value of 27 coins, consisting of dimes and quarters, is $4.50. How many dimes are in the collection?

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Question 841018: the value of 27 coins, consisting of dimes and quarters, is $4.50. How many dimes are in the collection?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

27 coins.... CENTS make sense.  Let s represent the amount of Quarters:

 25x + 10(27-x) = 450¢ 

     15x = 180

       x = 12, number of Quarters.  There are 15 Dimes   27-12%29

CHECKING our answer***

 25*12 + 10*15 =  300¢  + 150¢  = 450¢    0r $4.50

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