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

a2linetagadaW

a2linetagadaW

Answered question

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?

Answer & Explanation

Jayden-James Duffy

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:
2x+3y=900(1)
One ticket from Airline 1 and four tickets from Airline 2 cost $950:
x+4y=950(2)
Solve by substitution. Solve for xx using (2) to obtain (3):
x=9504y(3)
Substitute (3) to (1) and solve for yy:
2(9504y)+3y=900
19008y+3y=900
5y=1000
y=200
Solve for x using (3):
x=9504(200)
x=950800
x=150
The cost of a ticket on Airline 1 is $150, and the cost of a ticket on Airline 2 is $200.

Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-11Added 2605 answers

Answer is given below (on video)

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