The average of marks obtained by 100 candidat | vedclass

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Question

(C) Let the number of passed candidates be $x$ and the number of failed candidates be $(100 - x)$.According to the problem,the total marks obtained by

Vedclass · Accepted Answer

$80$

Vedclass · Answer

(C) Let the number of passed candidates be $x$ and the number of failed candidates be $(100 - x)$.According to the problem,the total marks obtained by all candidates is $100 	imes 30 = 3000$.The total marks obtained by passed candidates is $35x$.The total marks obtained by failed candidates is $10(100 - x)$.Therefore,$35x + 10(100 - x) = 3000$.$35x + 1000 - 10x = 3000$.$25x = 2000$.$x = \frac{2000}{25} = 80$.Thus,the number of candidates who passed the examination is $80$.

The average of marks obtained by $100$ candidates in a certain examination is $30$. If the average marks of passed candidates is $35$ and that of the failed candidates is $10$,what is the number of candidates who passed the examination?

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