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The following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in the second quarter of 2014. Set

The following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in the second quarter of 2014. Set up a system and then solve using technology. HINT [See the technology note accompanying Example 1.]

Airline United Continental American JetBlue Southwest
Cost () 14.9 14.6 11.9 12.4

Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 255 empty seats, costing them a total of $107,955. If United Continental had three times as many empty seats as American, how many empty seats did each of these three airlines carry on its flight?

United Continental empty seats:

American empty seats:

Southwest empty seats:

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