SOLUTION: Suppose I agree to pay you 8 cents for every problem in this class that you solve correctly and fine you 5 cents for every problem done incorrectly. If at the end of 26 problems we

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Question 324444: Suppose I agree to pay you 8 cents for every problem in this class that you solve correctly and fine you 5 cents for every problem done incorrectly. If at the end of 26 problems we do not owe each other any money, how many problems did you solve correctly?
Found 2 solutions by Fombitz, solver91311:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let R be the number of correct problems.
Let W be the number of incorrect problems.
1.R%2BW=26
2.8R-5W=0
From eq. 1,
R=26-W
Substitute into eq. 2,
8%2826-W%29-5W=0
208-8W-5W=0
13W=208
highlight%28W=16%29
Then from eq. 1,
R%2B16=26
highlight%28R=10%29
.
.
.
10 correct and 16 incorrect.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the number of correct answers. Let represent the number of incorrect answers. The sum is 26

The value (to the student) of correct answers is . The value (to the student) of incorrect answer is . The sum is zero.





Solve the system.

John