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?
+128407 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
