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The average weight of a class is 35 kg and the teacher’s weight is included then the average weight of class is increased by 1 kg. If the weight of the teacher is 56 kg, then find the number of students in the class?
- a)22
- b)21
- c)20
- d)24
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The average weight of a class is 35 kg and the teacher’s weight is in...
Let the number of students in the class = x
35 * x + 56 = (35 + 1) (x + 1)
35x + 56 = 36x + 36
x = 20
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The average weight of a class is 35 kg and the teacher’s weight is in...
Let's solve the problem step by step:
Given:
- The average weight of the class is 35 kg.
- The teacher's weight is included in this average.
- The weight of the teacher is 56 kg.
- The average weight of the class increases by 1 kg when the teacher's weight is included.
To find:
- The number of students in the class.
Assume:
- The number of students in the class is 'x'.
Finding the total weight of the class without the teacher:
- Since the average weight of the class is 35 kg, the total weight of the class without the teacher would be (35 * x) kg.
Finding the total weight of the class with the teacher:
- Since the average weight of the class increases by 1 kg when the teacher's weight is included, the new average weight of the class is (35 + 1) = 36 kg.
- The total weight of the class with the teacher would be (36 * (x + 1)) kg.
Finding the weight of the teacher:
- The weight of the teacher is given as 56 kg.
Equating the total weights:
- Since the total weight of the class without the teacher is equal to the total weight of the class with the teacher, we can set up the equation as follows:
(35 * x) = (36 * (x + 1)) - 56
Solving the equation:
- Expanding the equation, we get:
35x = 36x + 36 - 56
35x - 36x = -20
-x = -20
Simplifying the equation, we find that:
- Divide both sides by -1:
x = 20
Therefore, the number of students in the class is 20.
Hence, the correct answer is option C: 20.
Given:
- The average weight of the class is 35 kg.
- The teacher's weight is included in this average.
- The weight of the teacher is 56 kg.
- The average weight of the class increases by 1 kg when the teacher's weight is included.
To find:
- The number of students in the class.
Assume:
- The number of students in the class is 'x'.
Finding the total weight of the class without the teacher:
- Since the average weight of the class is 35 kg, the total weight of the class without the teacher would be (35 * x) kg.
Finding the total weight of the class with the teacher:
- Since the average weight of the class increases by 1 kg when the teacher's weight is included, the new average weight of the class is (35 + 1) = 36 kg.
- The total weight of the class with the teacher would be (36 * (x + 1)) kg.
Finding the weight of the teacher:
- The weight of the teacher is given as 56 kg.
Equating the total weights:
- Since the total weight of the class without the teacher is equal to the total weight of the class with the teacher, we can set up the equation as follows:
(35 * x) = (36 * (x + 1)) - 56
Solving the equation:
- Expanding the equation, we get:
35x = 36x + 36 - 56
35x - 36x = -20
-x = -20
Simplifying the equation, we find that:
- Divide both sides by -1:
x = 20
Therefore, the number of students in the class is 20.
Hence, the correct answer is option C: 20.
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The average weight of a class is 35 kg and the teacher’s weight is included then the average weight of class is increased by 1 kg. If the weight of the teacher is 56 kg, then find the number of students in the class?a)22b)21c)20d)24e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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The average weight of a class is 35 kg and the teacher’s weight is included then the average weight of class is increased by 1 kg. If the weight of the teacher is 56 kg, then find the number of students in the class?a)22b)21c)20d)24e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about The average weight of a class is 35 kg and the teacher’s weight is included then the average weight of class is increased by 1 kg. If the weight of the teacher is 56 kg, then find the number of students in the class?a)22b)21c)20d)24e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average weight of a class is 35 kg and the teacher’s weight is included then the average weight of class is increased by 1 kg. If the weight of the teacher is 56 kg, then find the number of students in the class?a)22b)21c)20d)24e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
The average weight of a class is 35 kg and the teacher’s weight is included then the average weight of class is increased by 1 kg. If the weight of the teacher is 56 kg, then find the number of students in the class?a)22b)21c)20d)24e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about The average weight of a class is 35 kg and the teacher’s weight is included then the average weight of class is increased by 1 kg. If the weight of the teacher is 56 kg, then find the number of students in the class?a)22b)21c)20d)24e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average weight of a class is 35 kg and the teacher’s weight is included then the average weight of class is increased by 1 kg. If the weight of the teacher is 56 kg, then find the number of students in the class?a)22b)21c)20d)24e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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