SOLUTION: In a collection of coins containing only dimes and nickels there are 8 fewer dimes than nickels. The total value of the collection is $4.00. How many dimes and nickels are in the

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Question 623245: In a collection of coins containing only dimes and nickels there are 8 fewer dimes than nickels. The total value of the collection is $4.00. How many dimes and nickels are in the collection?
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi,

In a collection of coins containing only dimes and nickels there are 8 fewer dimes than highlight%28x%29 nickels. 

 The total value of the collection is $4.00.  

How many dimes and nickels are in the collection?

Question states*** CENTS make sense

 5x + 10(x-8) = 400¢

    15x = 480

      x = 32, the number of Nickels.  There are 24 dimes

and 

 CHECKING our Answer***

32·5¢ + 24·10¢ = 400¢ or $4.00