1200 soldiers in a fort had …

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1200 soldiers in a fort had enough food for 28 days. After 4 days , some soldiers were transferred to another fort and thus food lasted now for thirty two more days. how many soldiers left the fort?
Posted by Janisha Garg 4 years, 2 months ago
- 2 answers
Shivangi Sinha 4 years, 1 month ago
Let the number of soldiers left = x
After 4 days, for 1200 soldiers the food would last for = 28-4=24 days
now we have the food that would last for 1200 soldiers= 24 days
and for 1200-x soldiers = 32 days
when the number of soldiers decrease, the food would last for more days. thus there is inverse variation between soldeirs and number of days.
therefore we get,
⇒1200×24=(1200−x)×32
⇒x=300
Thus the number of soldiers left the fort is 300.
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Manognya Avula 4 years, 1 month ago
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