A piece of pasture grows at a constant rate every week.  $$120$$ cows will eat up the grass in $$12$$ weeks.  $$150$$ cows will eat up the grass in $$8$$ weeks.  How many cows can the pasture sustain for $$6$$ weeks? 
Overseas Competition->Knowledge Point->Word Problem Modules->Newton's Problem of Cows and Fields->Advanced Newton's Problem of Cows and Fields