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?

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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times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3