SOLUTION: Suppose that 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 pr

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Question 145987This question is from textbook Thinking Mathematically
: Suppose that 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 do not owe each other any money, how many problems did you solve correctly? My problem with this problem is I cannot figure out how to translate it into an equation. Thank you for your help!! This question is from textbook Thinking Mathematically

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose that 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 do not owe each other any money, how many problems did you solve correctly?
:
Let x = no. correct
then
(26-x) = no. incorrect
:
8x - 5(26-x) = 0