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 $270 and first-class tickets for $1,070. She used her total budget for airfare for the trip, which was $9,380. How many first-class tickets did she buy?
How many coach tickets did she buy?

Question

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 $270 and first-class tickets for $1,070.  She used her total budget for airfare for the trip, which was $9,380.  How many first-class tickets did she buy?
How many coach tickets did she buy?

anonymous · Answer

i think you are supposed to solve 
$$x+y=14\
270x+1070y=9380$$