Question

The regular price of a child's entry ticket to a water park is $8 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 $194 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:

194 = 1/2x + 2(x − 8)
(1/2 is a fraction)

What is the regular price of a child's ticket?
$68
$76
$84
$89

Answer 1

The cost of 1 adult ticket in the off season is 42$, but it is asking for the child ticket's price so you would do 194-42 and you get 152. Then, you would divide 152/4 and you get 38 but this is during the off-season so you would double it and get 76.
The regular price for a child is 76$

But feel free to check my work :D

Answer 2

Option B. $76.

Explanation:

The given equation represents the situation, where x represents the regular price of an adult ticket.

194 =
`(1)/(2)`x + 2 ( x-8 )

Now we multiply the equation by 2

2 × 194 = 2 [
`(1)/(2)`x + 2 (x-8) ]

388 = x + 4 ( x-8 )

388 = x + 4x - 32

388 = 5x - 32

388 + 32 = 5x

420 = 5x

5x =
`(420)/(5)` = 84

And it has been given in the question that the regular price of a child's entry is $8 less than that of an adult ticket.

So child's ticket will cost = 84 - 8 = $76

Option B. $76 is the answer.