The average of marks obtained by 120 candidat | vedclass

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Question

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

Vedclass · Accepted Answer

$100$

Vedclass · Answer

(A) Let the number of candidates who passed be $x.$Then,the number of candidates who failed is $(120 - x).$The total marks obtained by all candidates is $120 	imes 35 = 4200.$The sum of marks of passed candidates is $39x.$The sum of marks of 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 = \frac{2400}{24} = 100.$Therefore,the number of candidates who passed the examination is $100.$

The average of marks obtained by $120$ candidates was $35.$ If the average of marks of passed candidates was $39$ and that of failed candidates was $15,$ the number of candidates who passed the examination is

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