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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?

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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, 75×24=60×xx=75×2460x=30

Therefore, the food will now last for 30 days.

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