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The mean weight of 60 students of a class is 40kg. The mean weight of boys is 50kg , while that of girls is 30kg. Find the number of boys and girls in the

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Let the no. of boys = x no. of girls = 60-x

A/Q, mean weight of boys = 50 kg Total weight of boys ÷ x = 50 ⇒ total weight of boys = 50x And, mean weight of girls = 30 kg Total weight of girls ÷ (60-x) = 30 ⇒ Total weight of girls = 30(60-x) =1800 - 30x now, mean weight of 60 students = 40 kg (Weight of girls + Weight of boys) ÷ total no. of students = 40 ⇒ (1800 -30x + 50x) ÷ 60 =40 ⇒ 1800 + 20x =40 ×60 ⇒ 20x = 2400 - 1800 ⇒ 20x = 600 x = 600/20 = 30 Therefore total no. of boys = 30 and total no of girls = 60 - 30 = 30 Therefore, No. of Boys =30 No. of Girls = 30