Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 14 people took the trip. She was able to purchase coach tickets for $290 and first class tickets for $940 . She used her total budget for airfare for the trip, which was $9910 . How many first class tickets did she buy? How many coach tickets did she buy?
number of first class tickets bought
Let's assume the number of coach tickets bought is x.
Then, the number of first class tickets bought will be (14-x) (since there were a total of 14 people, including Sarah)
The cost of x coach tickets is 290x
The cost of (14-x) first class tickets is 940(14-x)
According to the problem, the total budget for airfare is $9910.
So, 290x + 940(14-x) = 9910
290x + 13160 - 940x = 9910
-650x + 13160 = 9910
-650x = 3240
x = 3240/-650
x ≈ -4.9846
Since the number of tickets cannot be negative, x ≈ 5.
So, the number of coach tickets bought is 5 and the number of first class tickets bought is 14-5 = 9.
Number of first class tickets bought = 9
Number of coach tickets bought = 5