Tushar participated in two quizzes.In the first quiz points lost for each incorrect answer is (-3).In the second quiz points lost for each incorrect answer is (-6).He lost a total of 36 points in the first quiz and 60 points in the second quiz. how many incorrect answers did he give in each quiz?
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In an examination (+3) allotted for each correct answer and (-2) for each wrong answer). Student scores 400 marks.
Let him get x correct answers and (150 - x) answers wrong. Equation formed would be:
3x - 2(150- x) = 400
=> 3x - 300 + 2x = 400
5x = 700 therefore x = 140.
Hence the student has answered 140 questions correctly and 10 questions incorrectly.
Let's check:
Correct = 3*140= 420
Wrong = 2*10 = (-) 20
Net marks scored= 400 marks.
Number of quizzes Tushar at participated = 2
1st quiz points lost =(-3)
2nd quiz points lost=(-6)
Total points he lost in 1st quiz=36
Total points he lost in 2nd quiz=60
: . He gave 12 incorrect answer in 1st quiz
: . He gave 10 incorrect answer in 2nd quiz