Question:
In a class of 35 students, the average weight of 21 students is 46 kg and the average weight of the remaining students is 41 kg. The average weight of all the students and a teacher is 44.75 kg. What is the weight of the teacher (in kg)?
In a class of 35 students, the average weight of 21 students is 46 kg and the average weight of the remaining students is 41 kg. The average weight of all the students and a teacher is 44.75 kg. What is the weight of the teacher (in kg)?
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To find the weight of an additional person, use the total average weight formula and subtract the combined weight of the known individuals.
Updated On: Feb 15, 2025
- 70
- 71
- 71.9
- 72
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The Correct Option is B
Solution and Explanation
The total weight of the 21 students is:
\[ 21 \times 46 = 966 \, \text{kg}. \]
The total weight of the remaining 14 students is:
\[ 14 \times 41 = 574 \, \text{kg}. \]
The total weight of all students is:
\[ 966 + 574 = 1540 \, \text{kg}. \]
The total weight of all 35 students and the teacher is:
\[ 36 \times 44.75 = 1611 \, \text{kg}. \]
Thus, the weight of the teacher is:
\[ 1611 - 1540 = 71 \, \text{kg}. \]
So, the weight of the teacher is 71 kg, which corresponds to option (B).
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