Question 1120569
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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 = {{{(3/4)*x*p*(c/2)}}}.


Cancel "p*c" in both sides and simplify


150 = {{{(3/4)*x*(1/2)}}},


which gives  x = {{{(150*4*2)/3}}} = 50*4*2 = 400.


<U>Answer</U>.  400 days after 50 days.
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