A military camp has enough food to feed 1000 soldiers for 36 days. If 500 additional soldiers join the camp, how long will the food last?

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An Army camp has enough food for 125 soldiers for 16 days . how long will the food last if 75 more soldiers joined them?

military camp has enough food to feed 1000 soldiers for 36 days. If 500 additional

soldiers join the camp, how long will the food last.

To solve this problem, we can use the concept of proportions.

Let's determine the rate of consumption per soldier per day. We divide the total number of soldiers by the number of days the food would last for that number of soldiers:
Rate of consumption = 1000 soldiers / 36 days = 27.78 soldiers per day

Now, let's calculate the total rate of consumption by multiplying the rate per soldier by the number of soldiers in the camp initially:
Total rate of consumption = 27.78 soldiers per day * 1000 soldiers = 27,780 soldiers per day

Next, let's determine how long the food will last for the increased number of soldiers. We divide the total amount of food by the total rate of consumption:
New number of days = Total amount of food / Total rate of consumption

Since the amount of food remains the same even with the additional soldiers, the total amount of food is constant. Therefore, we have:
New number of days = 1000 soldiers * 36 days / (1000 soldiers + 500 soldiers) = 1000 * 36 / 1500
= 24 days

Therefore, if 500 additional soldiers join the camp, the food will last for 24 days.

1 000 soldiers + 500 soldiers = 1 500 soldiers

1 000 / 1 500 = 500 * 2 / ( 500 * 3 ) = 2 / 3

( 2 / 3 ) * 36 = 72 / 3 = 24 days

OR

Camp has enough food to feed 36 000 soldiers for 1 day.

36 000 / 1 500 = 24 days