Question

600 soldiers in a fort had enough food for 14 days. after 4 days , some soldiers were transferred to another fort and thus the food lasted for 30 more days. how many soldiers left the fort?

Answer 1

Answer:

I am not sure about it but check it out

600 soldiers food lasts for 14 days

600×14(EQ-1)

After 4 days soldiers get transferred

No. of days=14-4=10( 600 Soldiers eats food for 4 days so food quantity gets only for 10 days)

600×10(EQ-2)

Let soldiers left be X

SO,X×10

When soldiers that left (X) food storage get 30 more days so

X×10+30

X×40(EQ-3)

FROM EQ 1,2,3

600×10=X×40

X=6000÷40

X=150

Soldiers get transferred is 150.

Solution is 150 soldiers left the fort.

Answer 2

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.