some students arranged a picnic. The total budget for food was ₹240. Because 4 student of the group failed to go, the cost of food to each student got increased by ₹5. How many students went for the picnic?
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Let the number of students be n and the cost per student be x
Then,240/n=x-----1
240/n-4=x+5--------2
Subtract 1from 2 we get
240/n - 240/n-4=5
240(n-4-n)=5n^2-20n
5n^2-20n+960=0
N^2-4n+192=0
Therefore n =16or-12
Since number of students can't be negative n=16
Hence 16students planned the picnic and only 12 students went
Then,240/n=x-----1
240/n-4=x+5--------2
Subtract 1from 2 we get
240/n - 240/n-4=5
240(n-4-n)=5n^2-20n
5n^2-20n+960=0
N^2-4n+192=0
Therefore n =16or-12
Since number of students can't be negative n=16
Hence 16students planned the picnic and only 12 students went
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