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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 6 people took the trip. She was able to purchase coach tickets for ​$310 and first class tickets for ​$1220. She used her total budget for airfare for the​ trip, which was ​$5500. How many first class tickets did she​ buy? How many coach tickets did she​ buy?

Respuesta :

absor201

Sarah bought 4 first class tickets and 2 coach tickets.

Step-by-step explanation:

Given,

Cost of coach ticket = $310

Cost of first class tickets = $1220

Number of people = 6

Total amount used = $5500

Let,

x represent the number of coach tickets.

y represent the number of first class tickets.

According to given situation;

x+y=6      Eqn 1

310x+1220y=5500     Eqn 2

Multiplying Eqn 1 by 310

[tex]310(x+y=6)\\310x+310y=1860\ \ \ Eqn\ 3\\[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](310x+1220y)-(310x+310y)=5500-1860\\310x+1220y-310x-310y=3640\\910y=3640[/tex]

Dividing both sides by 910

[tex]\frac{910y}{910}=\frac{3640}{910}\\y=4[/tex]

Putting y=4 in Eqn 1

[tex]x+4=6\\x=6-4\\x=2[/tex]

Sarah bought 4 first class tickets and 2 coach tickets.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/9967230
  • brainly.com/question/9961057

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