Question : The average weight of 64 students is 48 kg and the average weight of another class of 32 students is 24 kg. Find the average weight of both classes combined.
Option 1: 34 kg
Option 2: 36 kg
Option 3: 40 kg
Option 4: 32 kg
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Correct Answer: 40 kg
Solution :
The total weight of 64 students with an average weight of 48 kg = 64 × 48 = 3072 kg
The total weight of 32 students with an average weight of 24 kg = 32 × 24 = 768 kg
The total weight of all the students = 3072 + 768 = 3840 kg
The total number of students = 64 + 32 = 96
The average weight of all the students = $\frac{3840}{96}$ = 40 kg
Hence, the correct answer is 40 kg.
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