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