Question

The regular price of a child's entry ticket to a water park is $9 less than that for an adult's. The park offers half off all entry tickets during the off-peak season. The Sandlers paid a total of $132 for 1 adult ticket and 4 child's tickets to the water park during the off-peak season. The following equation represents this situation, where x represents the regular price of an adult ticket:
132 = one-halfx + 2(x − 9)

What is the regular price of a child's ticket?

$60
$57
$51
$42

Answer 1

The regular price of a child's ticket is $51

Explanation

If  $x$  represents the regular price of an adult ticket, then the regular price of a child's ticket $=(x-9)$

Given equations is:  $132=\frac{1}{2}x+2(x-9)$

Solving the above equation, we will get...

$132=\frac{1}{2}x+2(x-9)\\ \\ 132=\frac{1}{2}x+2x-18 \\ \\ 132=\frac{5}{2}x-18\\ \\ 132+18=\frac{5}{2}x\\ \\ 150= \frac{5}{2}x\\ \\ 300=5x\\ \\ x= \frac{300}{5}=60$

So, the regular price of a child's ticket $=x-9=60-9= 51$ dollar.