Question

1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers were transferred to another fort and thus the food lasted for an extra 32 days. How many soldiers left the fort?​

Answer 1

Explanation:

1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers were transferred to another fort and thus the food lasted for an extra 32 days. How many soldiers left the fort?

Answer 2

Answer:

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.