Question

Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 15 people took the trip. She was able to purchase coach tickets for ​$180 and first class tickets for ​$1160. She used her total budget for airfare for the​ trip, which was ​$8580. How many first class tickets did she​ buy? How many coach tickets did she​ buy?

Answer 1

Answer:

The number of coach tickets bought was 9 and the number of first class tickets bought was 6

Step-by-step explanation:

Let'

x ---> the number of coach tickets  bought

y ---> the number of first class tickets bought

we know that

The total of people is 15, so the total of tickets is 15

$x+y=15$ -----> equation A

She was able to purchase coach tickets for ​$180 and first class tickets for ​$1160. She used her total budget  which was ​$8580

so

$180x+1,160y=8,580$ ----> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

The solution is the point (9,6)

see the attached figure

therefore

The number of coach tickets bought was 9 and the number of first class tickets bought was 6