Question

900 soldiers in a fort had enough food for 18 days. Some soldiers were transferred to another fort and so the food lasted for 24 days. How many were transferred?​

Answer 1

Answer:

Number of transferred soldiers = 120

Step-by-step explanation:

The food requirements for 900 soldiers lasts for 18 days.

Tge ratio is 900 : 18

Let the transferred number of soldiers be x.

(900 - x) soldiers have food requirements lasting for 24.

The ratio can be (900-x) : 24

The two ratios when cross multiplied, we get

(900 - x) × 18 = 900 × 24

or -x = (900 × 24)/ 18 - 900

-x = 5 × 24 - 900

-x = 120 - 900

or x = 900 - 120 = 780

So the number of transferred soldiers = 900 - 780 = 120