Question

There are 120 students in hostel food is provision for them is for 15bdays how long will this provision last if 30 more student join the group​

Answer 1

Step-by-step explanation:

Mathematically, p ∝ nt or

p=knt (k being a constant for provisions per student-day)

Then p1 = kn1t1 (for 1st situation with 120 st for 15 d) and

p2 = kn2t2 (for 2nd situation with 150 st for an unknown number of days, t2)

Note that the k is the same for both situations because it is assumed that both groups need the same amount of provisions/student-day and

kn1t1 = kn2t2 or

n1t1 = n2t2 (constants k cancel each other out)

Isolating the variable t2 algebraically,

t2 = n1t1/n2 or

t2 = (120 students)(15 days)/150 students

=

t2 = 12 days (Final answer)