Question

A group of students in a school contributed rs.8800 for an old age home . Five twelth of the students gave rs. 100 each . half of the students gave 200 each and remaining gave rs. 60 each .find the total number of studens

Answer 1

X5/12*100+x/2*200+60*(x-5x/12-x/2)=8800 solve for x

Answer 2

Let the total number of students be X


students gave 100 rs = 5x/12

students gave 200 rs = x/2

students gave 60 rs = X - 5x/12 - x/2

= 12X/12 - 5x/12 - 6x/12

= X/12

according to given condition ,

5x/12 (100) + X/2 (200) + X/12(60) = 8800

125x/3 + 100x + 5x = 8800

125x/3 + 105x = 8800

440x = 8800 × 3

X = 8800 × 3 /440

X = 60

so total number of students are 60