Question

1200 soldiers in a checkpost had enough food for 28 days. after 4 days some soldiers were transferred to another checkpost and thus remaining food is sufficient for 32 more days how many soldiers left the checkpost ​

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.

Answer 2

Step-by-step explanation:

let the no. soldier be=x

28-4=24 days

1200-xslodier = 32 days

1200 × 24 =(1200-x) ×32

x=300