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A small aircraft can carry 950 pounds of baggage, distributed between two storage compartments. On one ight, the plane is fully loaded, with 150 pounds

more baggage in one compartment than the other. How much is stowed in each compartment?



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Total weight of baggage = 950 lb
one compartment has 150 lb more than the other.

Let one has x lb of baggage
then the other will have (x+150) lb

since the aircraft is fully loaded;
x + (x+150) = 950
⇒ 2x + 150 = 950
⇒ 2x = 950-150 = 800
⇒ x = 800/2
x = 400 lb
x+150 = 400+150 = 550 lb

So one compartment has 400 lb and other has 550 lb of baggage.
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