Question

There are 100 students in a hostel. Food provision for them is
for 20 days. After 8 days 20 new students entered into the

hostel. How long will this provision last now?​

Answer 1

Step-by-step explanation:

There are 100 students in a hostel and they have food provisions for 20 days. How long will these provisions last if 25 more students join the group?

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The amount of provisions (call this p) required is directly proportional to the number of students (call this n) and the number of days (call this t) in the hostel.

Mathematically, p ∝ nt or

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

Then p1 = kn1t1 (for 1st situation with 100 st for 20 d) and

p2 = kn2t2 (for 2nd situation with 125 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

p1 = p2 because the group of 100 students (n1) for 20 days (t1) will have the sam

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Hi!

First( 100 students)×(20days)= total food eaten.—(1)

Now there are 100+25 students.

So, (125 students)×(x days)= total food eaten.—(2)

From 1 and 2

(125 students)×(x days)= ( 100 students)×(20days)

x days = {( 100 students)×(20days)}/125 students

x days = (4×20)/5= 4×4= 16.

Hence total days = 16.

HOPE IT HELPS U