Question

Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 12 people took the trip. She was able to purchase coach tickets for ​$130 and first class tickets for ​$1160. She used her total budget for airfare for the​ trip, which was ​$9800. How many first class tickets did she​ buy? How many coach tickets did she​ buy?

Answer 1

 x = 1st class and y = coach

x + y = 12...x = 12 - y
1160x + 130y = 9800

1160(12 - y) + 130y = 9800
13920 - 1160y + 130y = 9800
-1160y + 130y = 9800 - 13920
- 1030y = - 4120
y = -4120/-1030
y = 4 <==== coach tickets

x + y = 12
x + 4 = 12
x = 12 - 4
x = 8 <== first class tickets