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29 January, 06:33

Youth tickets (y) cost $2 for a ride, while adult tickets (x) cost $3. The amount of money earned is $54. If all the seats were filled (24 seats), how many of each ticket was sold?

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  1. 29 January, 06:55
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    There are no constants here. But we have x and y here.

    We will create an equation which is:

    2y+3x=54.

    But we will also create a second equation which states the number of seats.

    x+y=24.

    Now we do the two-equation solving method.

    2y+3x=54

    -2 (x+y=24)

    2y+3x=54

    -2x-2y=-48

    x=6

    To solve for y, plug in x into one of the original equations. Which one doesn't matter.

    y+6=24

    y=18
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