Mathematics

Question

Adult tickets to Space City amusement park cost x dollars. Children's tickets cost y dollars. The Garcia family bought 3 adult and 1 child ticket for $164. The Henson family bought 2 adult and 3 children's tickets for $174

1 Answer

  • let the number of adult tickets be x and the number of children tickets be y

    3x + y = 164...equ(1)

    2x + 3y = 174....equ(2)

    multiplying equation 1 by 3

    9x + 3y = 492

    subtracting equation 2 from 1

    7x = 318

    x = 45.43 dollars

    substituting the value of x into the equation

    3(45.428) + y = 164

    y = 164 - 3(45.428)

    ∴y  = 27.71 dollars



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