In an exam, there are 35 questions. Each correct answer, each wrong answer and each unanswered question carries 5 points, 0 points and 1 point respectively. Had each correct answer, each wrong answer and each unanswered question carried 4, -1 and 0 points respectively, the number of points a student would score in the exam is 25. Find the actual number of points that he would score in the exam.
[ correct answer: 60; please provide the detailed explanation]
Answers
Given : In an exam, there are 35 questions.
Each correct answer, each wrong answer and each unanswered question carries 5 points, 0 points and 1 point respectively.
Had each correct answer, each wrong answer and each unanswered question carried 4, -1 and 0 points respectively, the number of points a student would score in the exam is 25.
To Find : the actual number of points that he would score in the exam.
Solution:
correct answers = C
Wrong answers = W
unanswered = 35 - C - W
Score if 4 , -1 and 0 respectively
4C - W + 0 = 25
=> 4C - W = 25
Score 5 ,0 and 1 respectively
5C + 0 + (35-C- W) =
= 35 + 4C - W
= 35 + 25
= 60
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