The average of marks obtained by 120 candidat | vedclass

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Question

(A) Let the number of passed candidates be $x$.Then,the number of failed candidates is $120 - x$.The total marks obtained by all candidates is $120

Vedclass · Accepted Answer

$100$

Vedclass · Answer

(A) Let the number of passed candidates be $x$.Then,the number of failed candidates is $120 - x$.The total marks obtained by all candidates is $120 	imes 35 = 4200$.The total marks obtained by passed candidates is $39x$.The total marks obtained by failed candidates is $15(120 - x)$.According to the problem,the sum of marks of passed and failed candidates equals the total marks:$39x + 15(120 - x) = 4200$$39x + 1800 - 15x = 4200$$24x = 4200 - 1800$$24x = 2400$$x = 100$Therefore,the number of candidates who passed the examination is $100$.

The average of marks obtained by $120$ candidates in a certain examination is $35$. If the average marks obtained by passed candidates are $39$ and those of the failed candidates are $15$,then what is the number of candidates who passed the examination?

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