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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 8 people took the trip. She was able to purchase coach tickets for ​$290 and first class tickets for ​$980. She used her total budget for airfare for the​ trip, which was ​$5080. How many first class tickets did she​ buy? How many coach tickets did she​ buy?

 Jan 22, 2020
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Let x be the number of coach tickets bought. Since we have 8 the number of people who gets first class is 8 minus the number of coach tickets, or 8-x.

 

With that in mind you can write the equation as 290*x+980*(8-x)=5080.

Factoring gives:

    290x+980*8-980x=5080

    290x-980x+7840=5080

Move the x's to one side and the numbers to the other

980x-290x=7840-5080

690x=2760

x=2760/690

x=4

So that gives 4 coach tickets and 4 first class.

You can double check by 4*980 + 4*290 =5080
 

cheers

 Jan 22, 2020

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