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There are two divisions A and B of a class, consisting of 36 and 44 students respectively. If the average weight of divisions A is 40 kg and that of division b is 35 kg. What is the average weight of the whole class?

38.25
37.25
38.5
37
Explanation:

Total weight of students in division A = $ 36 \times 40$

Total weight of students in division B = $ 44 \times 35$

Total students = 36 + 44 = 80

Average weight of the whole class

$= \dfrac{\left(36 \times 40\right)+\left(44 \times 35\right)}{80} $

$= \dfrac{\left(9 \times 40\right)+\left(11\times 35\right)}{20} $

$= \dfrac{\left(9 \times 8\right)+\left(11\times 7\right)}{4} $

$= \dfrac{72+77}{4}\\$

$= \dfrac{149}{4}\\$

=$37.25$

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