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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?

Respuesta :

absor201

Sarah bought 4 first class tickets and 4 coach tickets.

Step-by-step explanation:

Given,

Number of people on trip = 8

Cost of each coach ticket = $290

Cost of each first class ticket = $980

Total budget for tickets = $5080

Let,

c represent the number of coach tickets

f represent the number of first class tickets

According to given statement;

c+f=8           Eqn 1

290c+980f=5080    Eqn 2

Multiplying Eqn 1 by 290

[tex]290(c+f=8)\\290c+290f=2320\ \ \ eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](290c+980f)-(290c+290f)=5080-2320\\290c+980f-290c-290f=2760\\690f=2760[/tex]

Dividing both sides by 690

[tex]\frac{690f}{690}=\frac{2760}{690}\\f=4[/tex]

Putting f=4 in Eqn 1

[tex]c+4=8 \\c=8-4\\c=4[/tex]

Sarah bought 4 first class tickets and 4 coach tickets.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/2150928
  • brainly.com/question/2154850

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