SOLUTION: Robert has 26 coins that are all nickels and dimes. The value of the coins is $1.85. Write and solve a system of equations that represents te situation.

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Question 823148: Robert has 26 coins that are all nickels and dimes. The value of the coins is $1.85. Write and solve a system of equations that represents te situation.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Robert has 26 coins that are all nickels and dimes.

Let highlight_green%28x%29 and highlight_green%2826-x%29 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.  highlight_green%2826-x%29

 CHECKING our answer***

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