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
left the fort?
​

Answer 1

Answer:

............

.........................

Answer 2

Answer:

300

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.