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1 November, 14:22

21) Diana's school is selling tickets to their fall musical.

They sold 3 adult tickets and 8 children's tickets and made $66.

The next day they sold 8 adult tickets and 15 children's tickets

and took in$147.50. What is the price each of one adult ticket

and one child ticket?

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Answers (1)
  1. 1 November, 14:34
    0
    Adult price is $10 and child is $4.5

    Step-by-step explanation:

    In this case we can solve it using a 2x2 system of equations, like this:

    let x: price of adult tickets

    let y: price of children tickets

    So:

    3*x + 8*y = 66

    8*x + 15*y = 147.5 = > x = (147.5 - 15*y) / 8

    Replacing, we are left with that:

    3 * ((147.5 - 15*y) / 8) + 8*y = 66

    55.3125 - 5.625 * y + 8 * y = 66

    8 * y - 5.625 * y = 66 - 55.3125

    2.375 * y = 10.6875

    y = 10.6875/2.375

    y = 4.5

    Now to calculate x:

    x = (147.5 - 15*4.5) / 8

    x = 10

    which means the adult price is $10 and the child is $4.5
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