Question:
In a hostel, 75 students had food provision for 24 days. If 15 students leave the hostel, for how many days would the food provision last?
Solution:
Let x be the required number of days. Then, we have:
| No. of students | 75 | 60 |
| No. of days | 24 | x |
Clearly, less number of students will take more days to finish the food.
So, it is a case of inverse proportion.
Now, $75 \times 24=60 \times x$
$\Rightarrow x=\frac{75 \times 24}{60}$
$\Rightarrow x=30$
Therefore, the food will now last for 30 days.
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