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26 December, 20:44

A family of 5 comes to the amusement park. There are two adults and three children (under the age of 12). They qualify for a special family rate of $174.45. The clerk tells them that a child's ticket always costs $11 less than an adult's ticket. How much is each adult ticket and how much is each child's ticket?

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  1. 26 December, 21:01
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    In the problem above, let x be the cost of ticket for adults. Based on the description stated by the clerk, each child's ticket costs x - 11.

    The total cost of the ticket is $174.45 and may be used to get the value of x. The equation is,

    2x + 3 (x - 11) = 174.45

    Solving x in the equation gives x = 41.49 and x - 11 = 30.49. Thus, each adult's ticket cost $41.49 and child's ticket costs $30.49.
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