The mean weight of 60 students in a class is
40 kg. The mean weight of boys is 50 kg
while that of girls is 30 kg. Find the number
of boys and girls in the class.
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Step-by-step explanation:
let the no. of boys =. x
No of girls = 60 - x
according to question
mean weigh of boys = 50 kg
total weight of boys÷ x = 50
total weight of boys = 50 x
mean weight of girls=30 kg
total weight of girls÷ (60-x)= 30
total weight of girls=30× (60-x)
= 1800-30x
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 x 60
20x = 2400 -1800
20x = 600
x = 600 ÷ 20
x = 30
Therefore total no. of boys = 30
total no. of girls = 60-30 = 30
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