Let X be the cost of an adult ticket.

So the cost of a child ticket is X-6.

The total cost of the 5 tickets is X*2 + 3*(X-6) = 77.

X*2 + 3*X - 3*6 = 77.

5*X - 18 = 77.

5*X = 77 + 18 = 95

X = <<19=19>>19

# Answer

19
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Mr. and Mrs. Boyden take their 3 children to a leisure park. They buy tickets for the whole family. The cost of an adult ticket is $6 more than the cost of a child ticket. The total cost of the 5 tickets is $77. What is the cost of an adult ticket?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
19
Mr. and Mrs. Boyden take their 3 children to a leisure park. They buy tickets for the whole family. The cost of an adult ticket is $6 more than the cost of a child ticket. The total cost of the 5 tickets is $77. What is the cost of an adult ticket?
train