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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?
Options:
A .  38.25
B .  37.25
C .  38.5
D .  37
Answer: Option B

Answer : Option B

Explanation :

$MF#%\text{Total weight of students in division A = }36 \times 40\\\\
\text{Total weight of students in division B = }44 \times 35\\\\
\text{Total students = }36 + 44 = 80\\\\
\text{Average weight of the whole class = }\dfrac{\left(36 \times 40 \right)+\left(44 \times 35 \right)}{80}\\\\
= \dfrac{\left(9 \times 40 \right)+\left(11\times 35 \right)}{20}=\dfrac{\left(9 \times 8\right)+\left(11\times 7\right)}{4}=\dfrac{72+77}{4}=\dfrac{149}{4}=37.25$MF#%



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