Question

in an army camp, 300 soldiers had provisions for 13 days, if 40 of them are transferred to the other camp, how long will the provisions lasts? (with steps)

Answer 1

To solve this problem, we can set up and solve equations to find the number of days the provisions will last after 40 soldiers are transferred.

Step-by-step explanation:

To solve this problem, we can calculate the rate at which each soldier consumes provisions. Let's assume that each soldier consumes x amount of provisions per day. Since the original provisions lasted for 13 days for 300 soldiers, we can set up the equation 300x * 13 = 1 to represent the consumption of all the provisions.

When 40 soldiers are transferred to the other camp, we now have 260 soldiers. Let's assume that the new provisions will last for y days. The equation for the new scenario becomes 260x * y = 1.

Since the amount of provisions consumed is constant, we can set up the equation 300x * 13 = 260x * y. Solving for y, we get (300x * 13) / 260x = y. Simplifying, y = 6.5 days. Therefore, the provisions will last for 6.5 days in the new scenario.