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

Step-by-step 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=(1)/(2)x+2(x-9)`

Solving the above equation, we will get...

`132=(1)/(2)x+2(x-9)\\ \\ 132=(1)/(2)x+2x-18 \\ \\ 132=(5)/(2)x-18\\ \\ 132+18=(5)/(2)x\\ \\ 150= (5)/(2)x\\ \\ 300=5x\\ \\ x= (300)/(5)=60`

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