How many first class 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

14

people took the trip. She was able to purchase coach tickets for

​$300

and first class tickets for

​$960.

She used her total budget for airfare for the​ trip, which was

​$7500

Answer 1

c + f = 14

300c + 960f = 7500

c = 14 - f

300(14 - f) + 960f = 7500

4200 - 300f + 960f = 7500

660f = 3300

f = 5 first class tickets