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7 September, 08:59

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 $260 and first class tickets for $970. She used her total budget for airfare for the trip, which was $10,550. How many first class tickets did she buy? How many coach tickets did she buy?

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  1. 7 September, 09:13
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    Let x equal the # of coach tickets

    Let y equal the # of first class tickets

    x + y = 16

    260x + 970y = 10,550

    Solve and state the answer. Use the substitution method to solve this system. Solve the first equation for x.

    x + y = 16

    x = 16 - y

    Now substitute the resulting expression into the other equation and solve for y.

    260 (16 - y) + 970y = 10,550

    4160 - 260y + 970y = 10,550

    Combine like terms

    4160 + 710y = 10,550

    Subtract 4160 from both sides

    710y = 6390

    divide by 710

    y = 9

    Substitute the value of y into the equation that we solved for x, x=17-y.

    x = 17 - 9

    x = 8

    Therefore the answer is, 8 coach tickets and 9 first class tickets.
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