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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 $500$ 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?

 
 May 17, 2024

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