Question

1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers sent to another fort and thus the food lasted for 32 more days. How many soldier the fort?​

Answer 1

Step-by-step explanation:

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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Answer 2

Answer:

So as we see that when the number of soldiers decreases, the food would last for more days thus there is an inverse variation between soldiers and number of days. ⇒x=1200×832=12004=300. Therefore 300 soldiers left the fort after 4 days. So this is the required answer.