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?

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(20060) (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

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