SOLUTION: 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

Algebra ->  Equations -> SOLUTION: 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       Log On


   



Question 1101942: 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 $380 and first class tickets for $1180. She used her total budget for airfare for the​ trip, which was $5440.How many first class tickets did she​ buy? How many coach tickets did she​ buy?
number of first class tickets bought?
number of coach tickets bought?

Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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 $380 and first class tickets for $1180. She used her total budget for airfare for the​ trip, which was $5440.How many first class tickets did she​ buy? How many coach tickets did she​ buy?
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Quantity:: C + F = 8
Value:: 380C + 1180F = 5440
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Modify;:
1180C + 1180F = 1180*8
380C + 1180F = 5440
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Subtract and solve for "C"::
800C = 4000
C = 5 (# of coach tickets)
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Cheers,
Stan H.
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = number of 1st class tickets
+8+-+x+ = number of coach tickets
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+1180x+%2B+380%2A%28+8+-+x+%29+=+5440+
+1180x+%2B+3040+-+380x+=+5440+
+800x+=+2400+
+x+=+3+
and
+8+-+x+=+5+
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She bought 3 1st class tickets
She bought 5 coach tickets