in a hostel 120 students had provision for 60 days after 20 days some students were added to the hostel the provision had finished 10 days ahead how many students were added
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Initial number of students= 100
Initial provision for 130 days
After 10 days remaining provision would last for 130-10= 120 days for 100 students
But number of remaining students is= 100-20= 80
Let remaining provision will last for X days for the remaining students
Represented as:-
Number of students= 100 80
Number of days = 120 X
As the number of days will decrease if number of students increase (inverse variation)
Therefore, 100×120= 8×X
Or X= 12000/80= 150 days
Therefore the remaining provision will last for 150 days.
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