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Micael gets 3 marks for each correct questions and loses 2 marks for each wrong answers.He attempts 30 sum and obtain 30 marks.Find the no of Questions he answered correctly ?

  • a)
    18

  • b)
    12

  • c)
    23

  • d)
    20

  • e)
    None of these

Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Micael gets 3 marks for each correct questions and loses 2 marks for e...
let x be the no of correct answer

x+y=30

3x-2y=30

2x+2y=60

5x=90

x=18
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Most Upvoted Answer
Micael gets 3 marks for each correct questions and loses 2 marks for e...
Solution:

Let the number of correct answers be x and the number of wrong answers be y.
Then, x + y = 30 ...(1) (since he attempted 30 questions in total)
Also, he gets 3 marks for each correct answer and loses 2 marks for each wrong answer. So, his total marks can be written as:
3x - 2y = 30 ...(2)
Simplifying equation (2):
3x = 2y + 30
x = (2/3)y + 10
Substituting this value of x in equation (1):
(2/3)y + 10 + y = 30
(5/3)y = 20
y = 12
Substituting this value of y in equation (1):
x + 12 = 30
x = 18

Therefore, the number of questions he answered correctly is 18. Hence, the correct option is (a).
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Community Answer
Micael gets 3 marks for each correct questions and loses 2 marks for e...
A option is write
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