Question

Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 11 people took the trip. She was able to purchase coach tickets for ​$340 and first class tickets for ​$1190. She used her total budget for airfare for the​ trip, which was ​$8840. How many first class tickets did she​ buy? How many coach tickets did she​ buy?

Answer 1

Answer:the number of coach tickets that she bought is 5

the number of first class tickets that she bought is 6

Explanation:

Let x represent the number of coach tickets that she bought.

Let y represent the number of first class tickets that she bought.

The total number of people that went for the round trip is 11. This means that

x + y = 11

She was able to purchase coach tickets for ​$340 and first class tickets for ​$1190. She used her total budget for airfare for the​ trip, which was ​$8840. This means that

340x + 1190y = 8840 - - - - - - - 1

Substituting x = 11 - y into equation 1, it becomes

340(11-y) + 1190y = 8840

3740 - 340y + 1190y = 8840

- 340y + 1190y = 8840 - 3740

850y = 5100

y = 5100/850 = 6

x = 11 - y

x = 11 - 6 = 5