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Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 5 people took the trip. She was able to purchase coach tickets for ​$380 and first class tickets for ​$1080. She used her total budget for airfare for the​ trip, which was ​$4000. How many first class tickets did she​ buy? How many coach tickets did she​ buy?

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altavistard

Answer:

Sarah bought 2 coach tickets and 3 first class tickets.

Step-by-step explanation:

Let c and f represent the numbers of coach and first class tickets purchased.  Then c + f = 5, so that c = 5 - f.

The pricing equation is therefore

$380c + $1080f = $4000.  Subbing 5 - f for c, we get the revised equation

380(5 - f) + 1080f = 4000.

After simplification, this becomes:

-380f + 1080f = 2100, or

700f = 2100.

Then f = 3 and c = 5 - f = 5 - 3 = 2.

Sarah bought 2 coach tickets and 3 first class tickets.

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