For every problem answered correctly on an exam, 4 points are awarded. For every incorrect answer, 5 points are deducted. In a 10-question test, a student score

Question

For every problem answered correctly on an exam, 4 points are awarded. For every incorrect answer, 5 points are deducted. In a 10-question test, a student scored 22 points. How many correct and incorrect answers did he have on the exam?

Answer 1

c represents the number of correct responses

10 - c represents the number of incorrect responses

 

4c - 5(10 - c) = 22

 

Can you solve for c and answer?