aThe 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 230 empty seats, costing them a total of $97,200. 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?

How many empty seats does United Continental have?

How many empty seats does American have?

How many empty seats does Southwest have?

b.)In the 75th Congress (19371939) there were in the Senate 75 Democrats, 17 Republicans, and 4 members of other parties. Suppose that a bill passed the Senate with 40 more votes in favor than against, with three times as many Democrats voting in favor as non-Democrats voting in favor, and with 38 more Democrats voting in favor than Republicans voting in favor. If every member voted either for the bill or against it, how many Democrats, how many Republicans, and how many members of other parties voted in favor of the bill?

How many democrats?

How many Republicans?

Other party members?