Suppose that a teacher agrees to pay a student 10¢for every problem in this chapter that the student solves correctly, and fines the student 5¢for every problem done incorrectly. if at the end of 30problems they do not owe each other any money, how many problems did the student solve correctly?

 10

Step-by-step explanation:

Let x be the number of correct problems and y be the number of incorrect problems.

Given:  A teacher pays a student 10¢ for every problem in this chapter that the student solves correctly, and fines the student 5 ¢ for every problem done incorrectly.

At the end of 30 problems they do not owe each other any money.

The by considering the given information we have the following equations :-

From (2), we have

Put in (1)

Then,  

Hence, the number of correct problems is 10 and the number of incorrect problems is 20.

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step-by-step explanation: