Question:
There are 50 students in a class, of which 40 are boys. The average weight of the class is 44 kg an that of the girls is 40 kg. Find the average weight of the boys.
Solution:
Total students in the class = 50
Number of boys = 40
∴ Number of girls = (50
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
Thus, we have:
Average weight of students in the class
$\Rightarrow 44=\frac{400+\text { Total weight of boys in the class }}{50}$
$\Rightarrow$ Total weight of boys $+400=2200$
$\Rightarrow$ Total weight of boys $=1800 \mathrm{~kg}$
Average weight of boys $=\frac{1800}{40}=45 \mathrm{~kg}$