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
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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):
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.
