Question

Solve using two equations with two variables

Sarah took the advertising department from her company on a round trip to Chicago to meet with a potential client. Including Sarah, a total of 14 people took the trip. She was able to purchase coach tickets for $250 and first-class tickets for $1150. She used her total budget for airfare for the trip, which was $10,700. How many first-class tickets did she buy?
How many coach tickets did she buy?

Answer 1

Let the number of first class tickets be x and the number of coach tickets be y, then
x + y = 14 . . . (1)
1150x + 250y = 10700 . . . (2)

(1) * 250 => 250x + 250y = 3500 . . . (3)

(2) - (3) => 900x = 7200
x = 7200/900 = 8
y = 14 - 8 = 6.

Therefore, she bought 8 first class tickets and 6 coach tickets.