SOLUTION: An airline is flying from Los Angeles to Albuquerque and making a stop in Phoenix. A ticket from Los Angeles to Phoenix costs $90 and from Los Angeles to Albuquerque $120. A total

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: An airline is flying from Los Angeles to Albuquerque and making a stop in Phoenix. A ticket from Los Angeles to Phoenix costs $90 and from Los Angeles to Albuquerque $120. A total       Log On


   



Question 939925: An airline is flying from Los Angeles to Albuquerque and making a stop in Phoenix. A ticket from Los Angeles to Phoenix costs $90 and from Los Angeles to Albuquerque $120. A total of 185 passengers boarded the plane in Los Angeles and totaled a fare of $21,000.
How many passengers stayed in phoenix ?


I was asked by a teacher to translate the original Spanish word problem into the English language, I believe I succeeded in doing so, but then he asked me to solve it and I was wondering if the correct answer would be x = 40 , y = 145 , as in 40 passengers stayed in Phoenix and 145 continued to Albuquerque.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = the number of passengers
who stayed in Phoenix
+185+-+n+ = the number who
did not stay in Phoenix
-----------------------------------
+90x+%2B+120%2A%28+185+-+x+%29+=+21000+
+90x+%2B+22200+-+120x+=+21000+
+-30x+=+-1200+
+x+=+40+
+185+-+x+=+145+
40 passengers stayed in Phoenix and 145 continued to Albuquerque
You were correct
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check:
+90x+%2B+120%2A%28+185+-+x+%29+=+21000+
+90%2A40+%2B+120%2A145+=+21000+
+3600+%2B+17400+=+21000+
+21000+=+21000+
OK