1500 soldiers in a camp had enough food for 20 days. After 5 days,300 soldiers joined the camp. For how many days will the food last now?
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Given that there are 1500 soldiers in the camp.
Also it is given that after 5 days out of the given 30 days, the camp has enough food for 1500 soldiers.
That is for 25 days, the camp has enough food.
Let the number of soldiers left this camp be ‘X’.
Number of soldiers left in the camp = (1500 – X)
Given that the food remains for 25 days
Number of soldiers 1500 lasted for 25 days
Number of soldiers 1500 - x lasted for 25 days
Clearly notice that the two quantities are in inverse proportion.
That is x1 y 1 = x2 y2
⇒ 1500 x 25 = (1500-X) x 25
⇒ X = 0
Thus the number of soldiers left is 0
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