Question 923526
Uniform Rates type situation, food consumption, but you do not know how much food in any given unit.  Just call this 1 lot of food.


This solution process is shown without explanation:


Let r be the consumption rate for 1 student in LOT per MONTHS.
Let t be time in MONTHS  (not days) for the lesser quantity of students.


{{{highlight_green(45r*2=1=(45-18)r*t)}}}.
Solve for t; and make what conversion you want.