In a test, 1 mark is awarded for each correct answer and one mark is deducted for each wrong answer. If a boy answers all 20 items of the test and gets 8 marks, the number of questions answered correct by him was:__________1614128
Question
In a test, 1 mark is awarded for each correct answer and one mark is deducted for each wrong answer. If a boy answers all 20 items of the test and gets 8 marks, the number of questions answered correct by him was:__________1614128
Solution
Let's denote the number of correct answers as C and the number of wrong answers as W.
From the problem, we know that:
- The total number of questions is 20, so C + W = 20.
- For each correct answer, the boy gets 1 mark, and for each wrong answer, he loses 1 mark. So, the total score is C - W = 8.
We can solve these two equations simultaneously to find the values of C and W.
Adding the two equations, we get:
C + W + C - W = 20 + 8 2C = 28 C = 28 / 2 C = 14
So, the boy answered 14 questions correctly.
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