A question paper has 20 true and false questions. The student gets 3 marks for every correct answer and loses 2 markd for every wrong answer. Asim attempts all questions and scores 25 marks. Find the number of questions he answered correctly and the questions he answered incorrectly.
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Answers
Answer:
13 and 7
Step-by-step explanation:
Let number of correct answers be = x
and wrong answers = y
==: x + y = 20
==: x = 20 - y ..........(1)
==: 3x - 2y = 25 ............(2)
Place 1 in 2
==: 3x - 2y = 25
==: 3 (20 - y) - 2y = 25
==: 60 - 3y - 2y = 25
==: 60 - 5y = 25
==: 5y = 35
==: y = 7 and x = 13
Hence, number of questions attempted correct = 13
and number of questions attempted wrong = 7
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Answer:
13 and 7
Step-by-step explanation:
Let the number of correct answers be x.
Let the number of incorrect answers be y.
= X + Y = 20
= X = 20 - Y ---------------- equation 1
= 3X - 2Y = 25 ------------ equation 2
Putting equation 1 in equation 2
= 3(20-Y) - 2Y = 25
= 60 - 3Y - 2Y = 25
= 60 - 5Y = 25
= 35 = 5Y
= 7 = Y
INCORRECT ANSWERS = 7
CORRECT ANSWERS = 20 - 7 = 13
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