In an examination , a student scores 4 marks for every correct answer and loses 1 mark for every wrong - Maths -

Question

In an examination , a student scores 4 marks for every correct
answer and loses 1 mark for every wrong answer If he attempts an
all 60 questions and secures 130 marks , what number of questions
does he attempt correctly?

Manbar Singh · Accepted Answer

Let number of correct answers = xthen the number of incorrect
answers = 60 - xMarks awarded for 1 correct answer = +4So, marks
awarded for x correct answers = 4xMarks awarded for 1 incorrect
answer = -1So, marks awarded for 60 - x incorrect answers = -1 60 -
x =x - 60Now, According to question, 4x + x - 60 = 130⇒ 5x =
130 + 60⇒ 5x = 190⇒ x = 1905⇒ x = 38So, number of
questions that he attempts correctly = 38

In an examination , a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer . If he attempts an all 60 questions and secures 130 marks , what number of questions does he attempt correctly?