Question

The food supply in a hostel will last for 8 days for 125 students. How

many days will the present supply of food last if the number of students in the hostel is 200?​

Answer 1

Answer:

125 students = 8 days of food

1 student = 8 *125 = 1000 days of food

200 students = 1000/200

= 5 days

Step-by-step explanation:

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Answer 2

Answer:

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 same amount of provisions as the group of 100 students (n2) for t2 days (the question you are asking for a solution). Therefore,

kn1t1 = kn2t2 or

n1t1 = n2t2 (constants k cancel each other out)

Isolating the variable t2 algebraically,

t2 = n1t1/n2 or

t2 = (100 students)(20 days)/125 students

t2 = 16 days (Final answer)

Note that the 1’s and 2’s should appear as subscripts.

There are 100 students in a hostel. Food provision for them is for 30 days. If after 10 days, 20 students leave the hostel, how many days will the remaining food last?

If there are 100 students in a hostel and their food provision is for 30 days, and after 10 days 25 students joined the hostel, how long would the food provision last?

In a hostel, food is available for 200 students for 50 days. After 10 days, 54 students join the hostel. How many days will the rest of the food be available for?

There are 100 students in a hostel where food provision for them is for 15 days. How long will the provision last if 20 more students join the group?

There are 100 students in a hostel and the food provision for them is for 20 days. After 8 days, 20 new students entered into the hostel. How long will this provision be now?

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.