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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? - Mathematics

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प्रश्न

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?

संक्षेप में उत्तर

उत्तर

\[\text{ Let x be the number of days with food provisions for 80 (i . e . , 50 + 30) girls }  .\]
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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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 10: Direct and Inverse Variations - Exercise 10.2 [पृष्ठ १३]

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आरडी शर्मा Mathematics [English] Class 8
अध्याय 10 Direct and Inverse Variations
Exercise 10.2 | Q 9 | पृष्ठ १३

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