The average marks obtained by 150 students in | vedclass

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Question

(C) Let the number of students who passed be $x$.Then,the number of students who failed is $(150 - x)$.The total marks obtained by all students is $15

Vedclass · Accepted Answer

$75$

Vedclass · Answer

(C) Let the number of students who passed be $x$.Then,the number of students who failed is $(150 - x)$.The total marks obtained by all students is $150 	imes 40 = 6000$.The total marks obtained by passed students is $60x$.The total marks obtained by failed students is $20(150 - x)$.According to the problem,the sum of marks of passed and failed students equals the total marks:$60x + 20(150 - x) = 6000$$60x + 3000 - 20x = 6000$$40x = 3000$$x = \frac{3000}{40} = 75$.Therefore,the number of students who passed the examination is $75$.

The average marks obtained by $150$ students in an examination is $40$. If the average marks of passed students is $60$ and that of the failed students is $20$,what is the number of students who passed the examination?

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