Question

Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah, a total of 17 people took the trip. She was able to purchase coach tickets for ​$270 and first-class tickets for ​$1140. She used her total budget for airfare for the​ trip, which was ​$12,420 How many first-class tickets did she​ buy? How many coach tickets did she​ buy?

Answer 1

9 first class tickets and 8 coach tickets

Explanation:

c + f = 17......c = 17 - f

270c + 1140f = 12,420

270(17 - f) + 1140f = 12,420

4590 - 270f + 1140f = 12,420

-270f + 1140f = 12,420 - 4590

870f = 7830

f = 7830 / 870

f = 9 <==== 9 first class tickets

c + f = 17

c + 9 = 17

c = 17 - 9

c = 8 <==== 8 coach tickets