Question

5) The average weight of 50 teachers of a school is 46 kg. If the average weight of gents teacher is 50 kg and the average weight of ladies teacher is 40 kg, what are the numbers of ladies and gents teachers? by using formula of combined mean ​

Answer 1

Answer:

Male teachers = 30, Female teachers = 20

Step-by-step explanation:

Number of teachers = 50

Average weight= 46 kg

Therefore, total weight = 2300 kg

Let the no. of male teachers be x.

Therefore no. of female teachers = 50-x

Average weight of male teachers = 50 kg

Average weight of female teachers = 40 kg

Therefore 50x + 40(50-x) = 2300

50x + 2000 - 40x = 2300

10x = 2300 - 2000

10x = 300

x = 300/10

x = 30

Therefore no. of male teachers = 30 and no. of female teachers = 20