Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 12 people took the trip. She was able to purchase coach tickets for ​$130 and first class tickets for ​$910. She used her total budget for airfare for the​ trip, which was ​$8,580. How many first class tickets did she​ buy? How many coach tickets did she​ buy?

How am I supposed to know when there could be multiple outcomes?

suppose there were c coach tickets, and f first-class tickets. Now, what do you know?

c+f = 12
130c + 910f = 8580
Now just solve for c and f.