In a hostel there is enough stock of food for 1200 students for 35 days . Find the number of days for which the food would last if 480 more students join the hostel
( Pls give solution with explanation )
( Pls give solution with explanation )
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Answer:
25 days
Step-by-step explanation:
To find the number of days for which the food would last if 480 more students join the hostel, we can use the concept of direct and inverse variation.
Since as the number of students increase the amount of food decreses so we have inverse variation
Therefore, 1200*35 = 1680 (1200+480) *x
and so by using the concept of linear equations we get x = 25 days
Verified answer
=1200 students consume food in 35days
=1 students consume the same food in 1200×35 days
= after adding total students, 1200+480 = 1680
= 1680 students consume the same food in days, = (35×1200)/1680
= 25 days