The total number of tickets bought is 6 and the number of coach tickets bought is 4 while the number of first class tickets bought is 2
We are told that a total of 6 people took the trip. If x is the coach tickets and y is the first class tickets and she bought tickets for 6 of them, then we can say that;
x + y = 6 ------(1)
Now, coach tickets cost $270 and first class tickets costs $1250. She used her total budget for airfare for the trip, which was $3580. Thus;
270x + 1250y = 3580 ----(2)
Solving both equations simultaneously gives;
x = 4 and y = 2
Thus, we conclude that the number of coach tickets bought is 4 while the number of first class tickets bought is 2.
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