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    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?
    A 24 Correct Answer Incorrect Answer
    B 40 Correct Answer Incorrect Answer
    C 35 Correct Answer Incorrect Answer
    D 28 Correct Answer Incorrect Answer

    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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