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Question

# There are 50 students in a class, of which 40 are boys. The average weight of the class is 44 kg and that of girls is 40 kg. Find the average weight of the boys.

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Solution

## Total students in the class = 50 Number of boys = 40 ∴ Number of girls = (50 - 40) = 10 Average weight of students in the class = 44 kg Average weight of girls in the class = 40 kg Sum of the weights of girls in the class = (40 ×10) kg = 400 kg Thus, we have: The average weight of students in the class = Total weight of girls in the class+Total weight of boys in the class Total number of students in the class ⇒44=400+Total weight of boys in the class50⇒Total weight of boys in the class+400=2200⇒Total weight of boys in the class=1800kgThe average weight of boys =180040=45kg

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