Question

Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 8 people took the trip. She was able to purchase coach tickets for ​$200 and first class tickets for ​$1210. She used her total budget for airfare for the​ trip, which was ​$4630. How many first class tickets did she​ buy? How many coach tickets did she​ buy?

Answer 1

3 1st class tickets

5 coach tickets

Explanation:

Quantity:: C + F = 8

Value:: 380C + 1180F = 5440

Modify;:

1180C + 1180F = 1180*8

380C + 1180F = 5440

Subtract and solve for "C"::

800C = 4000

C = 5 (# of coach tickets)

Let x = number of 1st class tickets

8-x = number of coach tickets

and

She bought 3 1st class tickets

She bought 5 coach tickets

Answer 2

200 x 5 = 1000
1210 x 3 = 3630
3630 + 1000 = 4630

She bought 5 coach tickets and 3 first class.