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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 16 people

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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 16 people took the trip. She was able to purchase coach tickets for ​\$250 and first class tickets for ​\$1030. She used her total budget for airfare for the​ trip, which was ​\$11020. How many first class tickets did she​ buy? How many coach tickets did she​ buy?

Dec 11, 2020

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Let P  be  the number of people who got coach tickets  and  16 - P  be  the number of people who got  first class tickets

So  we have

Price of  coach * people in coach + Price of  first  class * people in  first  class  =  Total cost

So

250P  +  1030 (16 - P)   =  11020

250 P  + 16480  - 1030P   =  11020

Rearrange

16480 - 11020  = 1030 P  -  250 P

5460 =  780P     divide  both sides by  780

7 =  P   = coach  tickets

Dec 11, 2020