Question 662177
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?
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Equations:
w + c = 26 problems
-5w + 8c = 0 cents
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Substitute for "w" and solve for "c":
w = 26-c
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-5(26-c) + 8c = 0
-130 + 5c + 8c = 0
13c = 130
c = 10 (# of problems solved correctly)
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Cheers,
Stan H.