SOLUTION: In a collection of coins, there are 7 less dimes than there are quarters. If the value of the collection is $3.85, then how many dimes are there?

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Question 838764: In a collection of coins, there are 7 less dimes than there are quarters. If the value of the collection is $3.85, then how many dimes are there?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

In a collection of coins, there are 7 less dimes than there are highlight_green%28x%29 quarters

Quarters: x

Dimes:  (x-7)

Questions States: value of the collection is $3.85

CENTS makes sense

 10(x-7) + 25x = 385¢

   35x = 455 

     x = 13 Quarters  and there are 6 Dimes   (13-7)

CHECKING our answer***

 10%2A6+%2B+25%2A13+=+60+%2B+325+= 385¢  0r $3.85

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