Some students arranged a picnic. The total budget is rs 240. because 4 students of the group failed to go the cost of food for each student increased by rs 5. How many students went to the picnic?

Asked by  | 26th Feb, 2013, 12:26: PM

Expert Answer:

Let the number of students be x and cost per sudent y
 
So, xy = 240 i.e. y = 240/x
Also, since 4 students failed to go resulting in the increase of cost by Rs 5
 
(x-4) (y+5) = 240
xy + 5x - 4y -20 = 240
240 + 5x - 4*240/x - 20 = 240
5x2 - 20x - 960 = 0
x2 - 4x - 192 = 0
(x-16) (x+12) = 0
x = 16 or x = -12
 
Since, x can't be negative, hence, x = 16. 
 
So, the number of the students who went to picnic = x-4 = 12.
 

Answered by  | 26th Feb, 2013, 05:00: PM

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