Question

12. 1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers were
sent to another fort and thus, the food lasted for 32 more days. How many soldiers
left the fort? in indirect variations​

Answer 1

Answer:

• let the no. of soldiers left =x

• After 4 days the food would last for 1200 soldiers =28-4=4
• Now we have

• No. of soldiers. 1200. 1200-x
• no. of days. 24. 32

• when the no. of soldiers decrease the food last for more days.Thus inverse variation.
• Therefore
• 1200×24=(1200-x)×32
• 1200 ×24/32=1200-x
• 900=1200-x
• x=1200-900
• x=300
• Therefore 300 soldiers left the fort.