Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 11 people

Question

Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 11 people took the trip. She was able to purchase coach tickets for $210 and first class tickets for $1200. She used her total budget for airfare for the trip, which was $10,230. How many first class tickets did she buy? How many coach tickets did she buy?

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    2021-09-10T15:41:35+00:00

    You can set up a system of equations for this problem. x= number of coach tickets and y = number of first class tickets.

    $210x + $1200y = $10,230 (cost of coach ticket plus cost of first class tickets is total budget)

    x + y = 11 (number of coach tickets plus number of first class tickets is total number of people)

    Solve the second equation for y to get y = 11 – x, then plug that into the first equation and solve for x:

    $210x + $1200(11 – x) = $10,230

    $210x + $13,200 – $1200x = $10,230

    -$990x + $13,200 = $10,230

    -$990x = $2,970

    x = 3

    Sarah bought x = 3 coach tickets. Plug that into the second equation and solve for y:

    3 + y = 11

    y = 8

    Sarah bought y = 8 first class tickets.

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