The regular price of a child's ticket is $51
Explanation
If [tex]x[/tex] represents the regular price of an adult ticket, then the regular price of a child's ticket [tex]=(x-9)[/tex]
Given equations is: [tex]132=\frac{1}{2}x+2(x-9)[/tex]
Solving the above equation, we will get...
[tex]132=\frac{1}{2}x+2(x-9)\\ \\ 132=\frac{1}{2}x+2x-18 \\ \\ 132=\frac{5}{2}x-18\\ \\ 132+18=\frac{5}{2}x\\ \\ 150= \frac{5}{2}x\\ \\ 300=5x\\ \\ x= \frac{300}{5}=60[/tex]
So, the regular price of a child's ticket [tex]=x-9=60-9= 51[/tex] dollar.
