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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 800 pounds more than each of her trucks, but no more than 1/5 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?

 Jun 24, 2021
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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 800 pounds more than each of her trucks, but no more than 1/5 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?

 

My neighbour is a woman.

 

That is impossible.

If my truck holds less than 1/5 of her trucks combined then my truck holds less than one of her trucks.

If my truck holds less than one of her trucks then it cannot carry 800 pounds more than her truck.

 

It is a trick question.

 Jun 26, 2021

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