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14 March, 15:14

William bought some tickets to see his favorite singer. He bought some adult tickets and some children's tickets, for a total of 15 tickets. The adult tickets cost $30 per ticket, and the children's tickets cost $20 per ticket. If he spent a total of $270, then how many adult and children's tickets did he buy

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  1. 14 March, 15:31
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    Set x as adult tickets.

    Set y as children's tickets.

    x + y = 15

    30x + 20y = 270

    Solve for x in the first equation.

    x + y = 15

    x = 15 - y

    Plug this into the second equation.

    30x + 20y = 270

    30 (15 - y) + 20y = 270

    450 - 30y + 20y = 270

    450 - 10y = 270

    -10y = - 180

    y = 18

    If there is 18 childrens tickets, there should be - 3 adult tickets.

    This is impossible, and this impossible answer occured because the question is written wrong.

    There are a total of 15 tickets

    The smallest costing ticket is the childrens ticket, which costs 20$.

    If he only bought children tickets, this would be 20x15 which is 300$.

    300$ is over 270$, which makes the question impossible.
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