Question
In an examination, 4 marks are given for each correct
answer and 1 mark is deducted for each wrong answer. If a candidate solved 75 questions and got 125 marks, then how many of his answers were correct?Solution
Total questions: x + y = 75. Total marks: 4x- y = 125. Substitute y =75-x into the second equation: 4x -(75-x) = 125 5x-75 = 125 5x =200 x=40 Thus, the candidate answered 40 questions correctly.
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