Yash scored 40 marks in a test, getting 3 marks for each right answer and losing 1 mark for each wrong answer. Had 4 marks been awarded for each correct answer and 2 marks been deducted for each incorrect answer, then Yash would have scored 50 marks. How many question were there in the test?
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Yash scored 40marks in a test, getting 3marks for each right answer and losing1 mark for each wrong answer. Had 4marks been awarded for each correct answer and 2 marks been deducted for each incorrect answer, then Yash would have scored 50 marks. How many questions were there in the test?Let correct question = xAnd incorrect question = yYash scored 40 marks in a test, getting 3marks for each right answer and losing1 mark for each wrong answer.3x - y = 40Subtract 3x both sides we get-Y = 40 – 3x Change the sign we getY = 3x – 40 …(1)Had 4 marks been awarded for each correct answer and 2 marks been deducted for each incorrect answer, then Yash would have scored 50 marksWe get4x – 2y = 50Plug the value of y we get4x – 2(3x - 40) =504x – 6x + 80 = 50-2x = - 30X = 15Plug this value back in equation first we getY = 3x – 40Y = 3* 15- 40Y = 45 – 40Y = 5
saadiyahzainab3:
is it correct
y = wrong answer
3x + 1y = 40
4x + 2y = 50
x = 15 y = 5
So total questions =
15+5 = 20
Answer = 20.
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Let x be the number of right answers and y be the number of wrong answers.
∴ According to the question ,
3x−y=40⟶(i)
and , 2x−y=25⟶(ii)
On substraction : x=15
putting the value of x in ⟶(i)
3(15)−y=40
y=5
∴ Number of right answers=15 answers
Number of wrong answers=5 answers.
Total Number of questions 5+15=20
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