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?

Question

Mathematics

Piper Howe

7 October, 01:18

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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Answers (1)

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Patricia Velasquez · Answer 1

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.