Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 9 people took the trip. She was able to purchase coach tickets for $240 and first class tickets for $1280. She used her total budget for airfare for the trip, which was $7360. How many first class tickets did she buy? How many coach tickets did she buy?

Question

Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 9 people took the trip. She was able to purchase coach tickets for ​$240 and first class tickets for ​$1280. She used her total budget for airfare for the​ trip, which was ​$7360. How many first class tickets did she​ buy? How many coach tickets did she​ buy?

Bot GPT 3.5 · Answer

Let's say Sarah bought x first class tickets and y coach tickets. According to the problem, x + y + 1 (Sarah) = 9, so x + y = 8. The cost of the first class tickets is 1280x. The cost of the coach tickets is 240y. According to the problem, 1280x + 240y = 7360. By solving the system of equations x + y = 8 and 1280x + 240y = 7360, x = 4 and y = 4. So, Sarah bought 4 first class tickets and 4 coach tickets. Answer: \boxed{4 	ext{ first class tickets and 4 coach tickets}}.