Question

The following table shows the amount spent by four U.S airlines to fly one available seat 1 mie in the second quarter of 2014.1 Set up a system and then solve using technology. HINT [See the technology note accompanying Example 1. United American JetBlue Southwest Airline Continental 11.9 12.4 14.6 Cost (e) 14.9 Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 190 empty seats, costing them a total of $79,410. 1 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 empty seats Southwest

Answer 1

Date : let the number of empty seats of uc, American and sw alrunis ben , y and a respectively according to question, x+y+z = 190 30700 / 14.9 % + 14.6 y + 12-4 z 49.410 - 100 loo loo x+ y + z = 190 14.9xt 14.6 y + 12.42 = 2647 by 2 ; and by x+ y +2 = 190 = 44+2=190 £4.9 (34) +14.64 + 1242=2647 . solving these two egn we get 0 = 90 Z-70 Henu 190 empty seats united con luc) Americal southwest To " "