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20 July, 23:19

A family of four went to a theme park and spent a total of $480 on tickets, food, and souvenirs. 1/6 of their money spent was for souvenirs. 1/4 of their money spent was for food. What is the price of one theme park ticket?

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  1. 20 July, 23:27
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    Answer: the price of one theme park ticket is $70

    Step-by-step explanation:

    Let x represent the price of one theme park ticket.

    Since the number if people that went for the theme park is 4, then the cost of tickets bought is $4x.

    The family spent a total of $480 on tickets, food, and souvenirs. If 1/6 of their money spent was for souvenirs, then the amount spent on souvenirs is

    1/6 * 480 = $80

    If 1/4 of their money spent was for food, then the amount spent on food is

    1/4 * 480 = $120

    Therefore,

    4x + 80 + 120 = 480

    4x + 200 = 480

    4x = 480 - 200 = 280

    x = 280/4

    x = $70
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