Hi,

8 cents for every problem in this chapter that you solve correctly 

and fine you 5 cents for every problem done incorrectly.

Question states*** 

  x + y = 26  0r  

 8x - 5y = 0

8(26-y) - 5y = 0

   208 = 13y

    16 = y, solved incorrectly.  10 solved correctly

and...

  

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
 Suppose we agree to pay you 8 cents for every problem in this chapter that you solve correctly and fine you 5 cents for every problem done incorrectly. If at the end of 26 problems we don’t owe each other any money, how many problems did you solve correctly?

----

Equations:

w + c = 26 problems

-5w + 8c = 0 cents

------

Substitute for "w" and solve for "c":

w = 26-c

-----

-5(26-c) + 8c = 0

-130 + 5c + 8c = 0

13c = 130

c = 10 (# of problems solved correctly)

==============

Cheers,

Stan H. 

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