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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 1/3 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?
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The condition tells us these two facts
M >= H + 800 (1)
M <= . (2)
where M is "my" truck and H is "her" truck.
Or, in compound form
H + 800 <= M <= .
It implies
H + 800 <= .
Simplify by multiplying by 3 (both sides)
3H + 2400 <= 4H
Hence,
H >= 2400
Then from (1)
M >= H + 800 = 2400 + 800 = 3200 pounds. ANSWER
ANSWER. 3200 pounds is that greatest load "I" can be sure . . .
Solved.