Question

In a test, there are 80 questions. Candidate gets 1 mark for each correct answers ,and a minus of 0.5 for wrong answers ,if the candidate scores 54.5 marks ,then how many correct answers did he get

Answer 1

Answer:

Please refer to the attached file below

Explanation:

Answer 2

Answer:

He got 71 correct answers

Explanation:

Let number of correct answers be ‘x’ and incorrect be ‘y’

So, x + y = 80 –– 1

x + (-0.5)y = 54.5

x – 0.5y = 54.5 –– 2

     x + y = 80

x – 0.5y = 54.5

_______________

       1.5y = 13.5

           y = 13.5 / 1.5 = 9

x + y = 80

x + 9 = 80

x = 80 – 9 = 71

∴ He got 71 correct answers

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