SOLUTION: There is $4.65 in dimes and quarters, but eight more dimes than quarters. How many dimes and quarters are there? And how did you get that answer?

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Question 811684: There is $4.65 in dimes and quarters, but eight more dimes than quarters. How many dimes and quarters are there? And how did you get that answer?
Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
There is $4.65 in dimes and quarters, 
 0.10d + 0.25q = 4.65

     10d + 25q = 465

but eight more dimes than quarters. 
             d = q + 8

Substitute q+8 for d in

     10d + 25q = 465
 10(q+8) + 25q = 465
10q + 80 + 25q = 465
      35q + 80 = 465
           35q = 385
             q = 11

             d = q + 8
             d = 11 + 8
             d = 19

Edwin