Question

some students arranged a picnic the budget for the food was 240 because for student of the group fail to go the cost of the food each student got increased by 5 how many student went to the picnic

Answer 1

Answer:

x-4=12

Step-by-step explanation:

Let the number of students be x and cost per student 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.

Answer 2

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