SOLUTION: To stimulate his son in the pursuit of mathematics a math professor offered to pay is son $8 for every equation correctly solved and to fine him $5 for every incorrect solution. At

Question 136710: To stimulate his son in the pursuit of mathematics a math professor offered to pay is son $8 for every equation correctly solved and to fine him $5 for every incorrect solution. At the end of 26 problems, neither owed any money to the other. How many did the boy solve correctly?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let C = the number of correct solutions and I = the number of incorrect soltion.
1) The total number of problems is 26.
2) $8 times the number of correct solutions minus $5 times the number of incorrect solutions is zero.
Rewrite equation 1) as:
and substitute into equation 2):
Simplify and solve for C.

Add 130 to both sides.
Divide both sides by 13.
The number of correctly solved problems is 10.
Check:
=
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