SOLUTION: I have a large truck and my neighbor has four identical small trucks. My truck can carry at least 800 pounds more than each of her trucks, but no more than one-third what all four

Question 1069453: I have a large truck and my neighbor has four identical small trucks. My truck can carry at least 800 pounds more than each of her trucks, but no more than one-third what all four of her trucks combined can carry. Knowing only these facts, what is the largest number of pounds that I can be assured of being able to carry in my truck?
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
Let W = the weight that the large truck can carry.
Let w = the weight that each of the small trucks can carry.
The large truck can carry at least 800 pounds more than one of the small trucks:
W = w + 800 -> w = W - 800 [1]
Also, the large truck can carry no more than 1/3 of what all four of the small trucks combined can carry:
W = 1/3(4w) = (4/3)w
Substituting [1] gives W = (4/3)(W-800) -> W/3 = 3200/3, or W = 3200
Ans: 3200 lbs.

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