The average weight of 29 students in a class is 48 kg. If the weight of the teacher is included, the average weight rises by 500 gm. Find the weight of the teacher.
Answers
Total weight of 29 students
=29×48= 1392 kg
Total weight of student and teacher =30×48.5= 1455 kg
Weight of teacher = 1455-1392
= 63 kg answer
Answer:
Weight of teacher is 63 kg.
Step-by-step explanation:
Given;
Average weight of 29 students= 48 kg.
As we know that ,
Average weight =total weight /no. of students
Total weight= average weight × no. of students
= 48 × 29=1,392 kg.
Let weight of teacher be x kg.
Weight of students including teacher = 1,392 +x kg.
According to the problem,
New average weight = 48kg. 500 gm.= 48 .5 kg (∵1000 gm. = 1kg.)
New average weight = weight of students including teacher/ total no. of students including teacher
48.5 = (1392+x) /(29 +1)
48.5 = (1392+x) / 30
48.5 × 30 =1392 +x
1455-1392 =x
63 = x