I own a large truck, and my neighbor owns four small trucks that are all identical. My truck can carry a load of at least 800 pounds more than each of her trucks, but no more than 1/3 of the total load her four trucks combined can carry. Based on these facts, what is the greatest load I can be sure that my large truck can carry, in pounds?
This is AoPS homework. You should not cheat on your homework.
this question was already answered here by CPhill: https://web2.0calc.com/questions/geometry-question_47