a2linetagadaW

2021-01-10

Two groups of students bought airline tickets to go to a conference. One group bought two tickets from Airline 1 and three tickets from Airline 2 and their total was $900 before taxes and fees.
The other group bought one ticket from Airline 1 and four tickets from Airline 2, and their total was $950 before taxes and fees. How much does a ticket cost of each airline?

Jayden-James Duffy

Skilled2021-01-11Added 91 answers

Let x be the cost of a ticket on Airline 1 and y be the cost of a ticket on Airline 2.

Two tickets from Airline 1 and three tickets from Airline 2 cost $900:

One ticket from Airline 1 and four tickets from Airline 2 cost $950:

Solve by substitution. Solve for xx using (2) to obtain (3):

Substitute (3) to (1) and solve for yy:

Solve for x using (3):

The cost of a ticket on Airline 1 is $150, and the cost of a ticket on Airline 2 is $200.

Jeffrey Jordon

Expert2021-08-11Added 2575 answers

Answer is given below (on video)