question_answer

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?

Answer:

Number of gives added = 30

\[\therefore \] Now total number of girls \[=\text{ }50\text{ }+\text{ }30\text{ }=\text{ }80\]

For more number of girls, the food will last less number of days

\[\therefore \]It is a case of inverse proportion                                                                                                 \[50\times 40=80\times x\]

\[x=\frac{50\times 40}{80}=25\]

Therefore, the food will now last for 25 days.