Question

The combined average monthly income of teaching and non-teaching staff of an institution is Rs. 2344. If the average monthly income of teaching and non- teaching staff respectively be Rs.2865 and Rs. 1302 and the number of non-teaching staff be 14, find the no. of teaching staff​

Answer 1

Answer:

28

Step-by-step explanation:

Let x be the number of teaching staff.

Total Monthly income of teaching staff = 2865*x.

Total Monthly income of non-teaching staff = 1302 * 14 = 18228.

Total average monthly income of teaching and non-teaching staff = 2344

2865x + 18228 / 14+x = 2344

=> 2865x + 18228 = 2344 (14 + x)

=> 2865x + 18228 = 32816 + 2344x

=> 2865x - 2344x = 32816 - 18228

=>   521x        =  14588

=> x = 28.

Hence total number of teaching staff = 28.