Question

The average weight of 13 students and their teacher is 24.5 kg. If the weight of the teacher is 31 kg, then what is the average weight of the 13 students?

• A. 23.5
• B. 25
• C. 24
• D. 23

Answer 1

Answer:

C. 24

• In this problem, initially, we have 13 students and 1 teacher, making the total number of quantities (people) 14.

• The given average weight of these 14 individuals is 24.5 kg.

• To find the total weight of these 14 people, we multiply the average by the number of people: Total Weight = Average × Number of Quantities.

• So, the total weight of 13 students and their teacher is 24.5 kg × 14 = 343 kg.

• Next, we are given the weight of the teacher, which is 31 kg.

• To find the total weight of the 13 students alone, we subtract the teacher's weight from the combined total weight: Total Weight of Students = Total Combined Weight - Teacher's Weight.

• Therefore, the total weight of the 13 students is 343 kg - 31 kg = 312 kg.

• Finally, to find the average weight of the 13 students, we divide their total weight by the number of students: Average Weight of Students = (Total Weight of Students) / (Number of Students).

• Thus, the average weight of the 13 students is 312 kg / 13 = 24 kg.