In a Mathematics paper there are 10 problems. Each correct answers carries 5 marks whereas for each incorrect answer 3 marks are deducted from the marks scored. Abdul Answered all questions but got only 29 marks. Find the number of correct answers given by Abdul.
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Answer:
No. of correct ans is 7 because out of 10 7 is correct means 7×5= 35,rest 3 is wrong means 3×2= 6 which means 35-6= 29
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Let number of correct answers be x and number of incorrect answers be y.
x+ y= 10
y= 10-x ____________(1)
According to question,
x(+5) + y(-3) = 29
5x-3y= 29
from (1),
5x-3(10-x) = 29
5x-30+3x= 29
8x= 59
x= 59/8
x= 7.375
Approximately 7 correct answers are given by Abdul.
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