In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 75 questions and secures 125 marks then find the number of questions, attempted correctly.

In an examination, a student scores 4 marks for every correct answer a

1.	In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 75 questions and secures 125 marks then find the number of questions, attempted correctly.
Answer» Step-by-step explanation:Student scores 4 marks for every correct answer and loses 1 mark for every WRONG answer.Total number of questions = 75Total marks secured = 125The number of questions attempted correctly↪ LET us assume that the total number of questions attempted correctly is x.↪ Let us assume that the total number of questions wrongly attempted is y.↪ By given, Total number of questions = 75 x + y = 75 x = 75 - y-----(1)↪ Also by given, 4 marks are awarded for each correct answer and 1 mark is deducted for each wrong answer.↪ Hence, 4x - 1y = 125 ↪ Substitute VALUE of x from equation 1, 4 (75 -y) - y = 125 300 - 4y - y = 125 300 -5y = 125 -5y = -175 y = 35↪ Hence the number of questions wrongly attempted is 35.↪ Now substitute the value of x in equation 1, x = 75 - 35 x = 40↪ Hence the number of questions correctly attempted is 40.↪ Total number of questions = 75 40 + 35 = 75 75 = 75↪ Total number of marks = 125 40 × 4 - 35 = 125 160 - 35 = 125 125 = 125

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In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 75 questions and secures 125 marks then find the number of questions, attempted correctly.​

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In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 75 questions and secures 125 marks then find the number of questions, attempted correctly.