Question

A hostel has enough food to feed 250 students for 30 days. How long will the food last for 300 students.

Answer 1

this question is in inverse proportion.
so let x be the number of students and y be the number of days
Therefore,x1= 250 students,y1=30 days,X2=300 students and Y2=?

then,x1 × y1 = x2 × y2
250×30=300×y2
250×30÷300= Y2
7500÷300=Y2
y2 =25

Hence the food will last for only 25 days.
Hope it will help.

Answer 2

student = 250 and food for =30 days
student =300 and food for =x
A/q,
250/300 =x/ 30
on cross multiplication
300x=7500
x=7500/300
x=25 days.