An airline that flies from Los Angeles to Albuquerque with a stopover in Phoenix charges a fare of $100 to Phoenix and a fare of $120from Los Angeles to Albuquerque.

Question

An airline that flies from Los Angeles to Albuquerque with a stopover in Phoenix charges a fare of $100 to Phoenix and a fare of $120from Los Angeles to Albuquerque. A total of 170 passengers boarded the plane in Los Angeles, and fares totaled $19,500. How many passengers got off the plane in Phoenix?

 

passengers=

Answer 1

Let x = #passengers deplaning in Phoenix

y = #passengers all the way to Albuquerque

Then:

x + y = 170 (total number of passengers starting out)

100x + 120y = 19500 (each Phoenix passenger brings in $100; each Albuquerque passenger $120)

Perhaps using substitution method is best. From 1st equation y = 170 - x. Substitute into 2nd equation:

100x + 120(170 - x) = 19500. Solve for x and that will be number of passengers to Phoenix only.