Average weight of 60 students is 35.5 kg. If along with the teacher the average
weight of all of them is 16 kg , what is the weight of the teacher ?
(1) 56 kg
(2) 66 kg (3) 65.5 kg (4) 66.5 kg
Answers
Correct Question:
Average weight of 60 students is 35.5 kg. If along with the teacher the average weight of all of them is 36 kg, what is the weight of the teacher?
(1) 56 kg
(2) 66 kg
(3) 65.5 kg
(4) 66.5 kg
Solution:
- Average weight of 60 students is 35.5 kg.
- Total weight of 60 students = (35.5 × 60) = 2130 kg
To Find:
- What is the weight of the teacher?
Let us assume:
- The weight of the teacher be x kg.
Formula:
- Average = (Total weight)/(Number of people)
We have:
- Along with the teacher the average weight = 36 kg
- Total weight including teacher = (2130 + x) kg
- Number of people including teacher = 60 + 1 = 61
Finding the weight of the teacher:
According to the question.
⟶ 36 = (2130 + x)/61
⟶ (2130 + x) = 36 × 61
⟶ 2130 + x = 2196
⟶ x = 2196 - 2130
⟶ x = 66
∴ The weight of the teacher = 66 kg
Hence,
- (2) 66 kg is the correct option.
Answer:
- 66 Kg
Step-by-step explanation:
Question
- Average weight of 60 students is 35.5 kg. If along with the teacher the average weight of all of them is 36 kg, what is the weight of the teacher?
Given
- Average weight of 60 students is 35.5 Kg.
- Along with the teacher, the average weight of all of them is 36 Kg.
To find
- Weight of the teacher.
Solution
Average weight of 60 students = 35.5 Kg
Total weight of 60 students = Average weight × Number of students
- 35.5 × 60
- 2130 Kg
Let the weight of teacher be x Kg.
Then, if we add one more student (here teacher) to 60 students, the total number of persons will be 61 and the average weight will be (2130 + x) Kg and the average weight with the teacher is 36 Kg.
Now, we know:
- Average = (Total weight)/(Number of people)
- 36 = (2130 + x)/(60 + 1)
- (2130 + x) = 36 × 61
- (2130 + x) = 2196
- x = (2196 - 2130)
- x = 66
Hence, the weight of the teacher is 66 Kg.