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 $250 and first class tickets for $1030. She used her total budget for airfare for the trip, which was $11020. How many first class tickets did she buy? How many coach tickets did she buy?

Guest Dec 11, 2020

#1**+1 **

Let P be the number of people who got coach tickets and 16 - P be the number of people who got first class tickets

So we have

Price of coach * people in coach + Price of first class * people in first class = Total cost

So

250P + 1030 (16 - P) = 11020

250 P + 16480 - 1030P = 11020

Rearrange

16480 - 11020 = 1030 P - 250 P

5460 = 780P divide both sides by 780

7 = P = coach tickets

CPhill Dec 11, 2020