Hi,

Robert has 26 coins that are all nickels and dimes.

Let  and  represent the number of dimes and nickels respectively

Question states***

The value of the coins is $1.85  0r 185¢

Cents makes sense:

 10x + 5(26-x) = 185

     5x = 55

      x = 11, the number of dimes.  Number of Nickels is 15.  

 CHECKING our answer***

  10*11 + 5*15 = 110 + 75 = 185¢  0r  $1.85

 

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