Question

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

Answer 1

Let the no. of students be x.
5/12x(100)+1/2x(200)+(x-5/12x-1/2x)(60)=x(8800)
125/3x+100x+55x=8800x
(125x+300x+165x)/3=8800x
600x=26400x
x=44x

Answer 2

rupees contributed: 8800 rs

money given by 5/12 of students: 100 rs each

money given by half of the students: 200 rs each

remaining: 60 rs each, respectively.

total number of students: ?

equation to find the answer:

5/12 divide 2 = 2.4/2 = 1.2

1.2+60= 61.2

therefore the answer is 61.2