Question

Q.15 A college hostel has food for 50 days. If after 10 days another 500 students joined the hostel and the food lasted for 35 days. How many students were initially in the hostel?
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Answer 1

Step-by-step explanation:

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.

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