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Question
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?
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Solution
| Number of girls | 50 | 80 |
| Number of days | 40 | x |
\[\text{ Since the number of girls and the number of days with food provisions are in inverse variation, we have: } \]
\[ 50 \times 40 = 80x\]
\[ \Rightarrow x = \frac{50 \times 40}{80}\]
\[ = \frac{2000}{80}\]
\[ = 25\]
\[ \text{ Thus, the required number of days is } 25 .\]
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