In a hostel of 50 girls, there are food provisions for 40 days. If 30 more girls join the hostel, how long will these provisions last?

Explanation

Total girls` =50+30=80`
Let `x` be the number of days with food provisions for `80`.
Since, the number of girls and the number of days with food provisions are in inverse variation, we have:
`⇒ 50xx40=80x`
`=> x= (50xx40)/80`
`=> x= 2000/80`
`​=> x=25`
`therefore` The required number of days are `25`