Question : In a class of 60 students, 20 are girls. The average weight of the boys in the class is 40 kg, while that of all the girls is 35 kg. What is the average weight (in kg) of the entire class (correct to two decimal places)?
Option 1: 36.67
Option 2: 38.33
Option 3: 33.33
Option 4: 40.67
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Correct Answer: 38.33
Solution :
In a class of 60 students, 20 are girls.
Number of boys = 60 – 20 = 40
The average weight of the boys in the class is 40 kg.
Total weight of the boys in the class = 40 × 40 = 1600
The average weight of all the girls is 35 kg.
Total weight of all the girls = 35 × 20 = 700
$\therefore$ Average weight of the entire class = $\frac{700 + 1600}{60} = 38.33$ kg
Hence, the correct answer is 38.33 kg.
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