Question

600 soldiers in a fort had enough food for 30 days. After 6 days some soldiers were sent to another fort and thus the food lasted for 40 more day. How many soldiers left the fort

Answer 1

Answer:

240

Step-by-step explanation:

Given that 600 soldiers had enough food for 30 days.

Let the numbers of soldiers left the fort be 'x'.

After 6 days, for 600 soldiers food would last for (30 - 6) = 24 days.

Given that food lasted for 40 days.

Inverse Proportion:

⇒ 600 * 24 = (600 - x) * 40

⇒ 14400 = 24000 - 40x

⇒ 9600 = -40x

⇒ x = 240.

Therefore, the number of soldiers left the fort is 240.

Hope it helps!