Question

The mean weight of 120 students in then second year class of collage is 56 kg if the mean of boys and that of the girls in the clasd are 60 kg and 50 kg respectively then the no of boys and girls in the class
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Answer 1

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Let the number of boys be x. Then,

The number of girls = (120 - x)

Total weight of 120 students in the class = 120 x

56 kg = 6720 kg

Total weight of x boys = 60x kg

Total weight of (120 - x) girls = (120 - x) x 50 kg = 6000 - 50x

Given, 60x + 6000 - 50x = 6720

⇒ 10x = 720

⇒ x = 72

∴ Number of boys = 72,

Number of girls = 120 - 72 = 48

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