Hi

five fewer dimes than nickels

Let x and (x+5) represent the numer of dimes and nickels respectively

Question states***(makes sense to use cents)

 10x + 5(x+5) = 400 CENTS

solving for x

 15x + 25 = 400

     15x = 375

       x = 25, the number of dimes.  The number of nickels is 30.   (25+5)



CHECKING our Answer

  250 + 150 = 400cents or $4.00 

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