Answer:
She buy 7 first class tickets and 9 coach tickets.
Step-by-step explanation:
Given:
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 16 people took the trip.
She was able to purchase coach tickets for $340 and first class tickets for $910. She used her total budget for airfare for the trip, which was $9430.
Now, to find the number of first class tickets and coach tickets she buy.
Let the number of first class tickets be [tex]x.[/tex]
And the number of coach tickets be [tex]y.[/tex]
So, the total number of tickets she purchased for the trip:
[tex]x+y=16[/tex]
[tex]x=16-y[/tex] .....(1)
Now, the total budget of airfare for the trip was:
[tex]x(910)+y(340)=9430[/tex]
[tex]910x+340y=9430[/tex]
Substituting the value of [tex]x[/tex] from equation (1) we get:
[tex]910(16-y)+340y=9430[/tex]
[tex]14560-910y+340y=9430[/tex]
[tex]14560-570y=9430[/tex]
Subtracting both sides by 14560 we get:
[tex]-570y=-5130[/tex]
Dividing both sides by -570 we get:
[tex]y=9.[/tex]
The number of coach tickets = 9.
Now, to get the number of first class tickets we substitute the value of [tex]y[/tex] in equation (1) we get:
[tex]x=16-y\\x=16-9\\x=7.[/tex]
The number of first class tickets = 7.
Therefore, she buy 7 first class tickets and 9 coach tickets.
