Question

Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 16 people took the trip. She was able to purchase coach tickets for $160 and first class tickets for $1140. She used her total budget for airfare for the trip, which was $9420. How many first class tickets did she buy? How many coach tickets did she buy?

Answer 1

• 7 first class
• 9 coach

Explanation:

Let f represent the number of first-class tickets that Sarah bought. Then she bought (16-f) coach tickets. Her total spending for airfare was ...

1140f +160(16-f) = 9420

980f +2560 = 9420 . . . . simplify

980f = 6860 . . . . . . . . subtract 2560

f = 7 . . . . . . . . . . . . . divide by 980; number of first-class tickets

(16-f) = 9 . . . . . coach tickets

Sarah bought 7 first-class tickets and 9 coach tickets.