Question

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 number of ladies and gents teachers?​

Answer 1

Answer:

20 GENTS TEACHER AND 30 LADY TEACHERS

Step-by-step explanation:

Let the number of gents teacher be x. Then the number of ladies will be 50 - x.

So, the average weight is ((40x) + 50(50-x)/ 50 )which is given to be 46

(40x + 2500 - 50x)/50 = 46

-10x +2500 = 50*46

-10x + 2500 = 2300

-10x = 2300 - 2500

-10x = - 200

x = 200/10 = 20

So, there are 20 gents and 30 ladies are there.

Answer 2

Let the number of ladies teacher are x. Then the number of gents teacher will be 50 - x.  

 

So, the average weight is ((40x) + 50(50-x)/ 50 )which is given to be 46  

 

(40x + 2500 - 50x)/50 = 46  

 

-10x +2500 = 50*46  

 

-10x + 2500 = 2300  

 

-10x = 2300 - 2500  

 

-10x = - 200  

 

x = 200/10 = 20  

 

So, there are 20 ladies teacher and 30 gents teacher are there.

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