SOLUTION: A town under siege has sufficient food for 200 days at a constant rate of consumption. After 50 days, a quater of the inhabitants escape and those left are put on half rations. How

Question 1120569: A town under siege has sufficient food for 200 days at a constant rate of consumption. After 50 days, a quater of the inhabitants escape and those left are put on half rations. How many days altogether will the remaining food last?
Answer by ikleyn(52780) (Show Source): You can put this solution on YOUR website!
.

Let x be the number of days after 50 days.


Let "c" be the initial daily consumption amount for each inhabitant.


Let "p" be the initial population (= the original number of inhabitants).


Then you have an equation


150*p*c = .


Cancel "p*c" in both sides and simplify


150 = ,


which gives  x =  = 50*4*2 = 400.


Answer.  400 days after 50 days.

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