Question

12. 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
ork in
left the fort?
aths?
​

Answer 1

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=300Thus the number of soldiers left the fort is 300.