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 $1500$ pounds more than each of her trucks, but no more than $\frac{1}{4}$ 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?

wiseowl Dec 14, 2023