Question

The regular price of a child's entry ticket to a water park is $6 less than that for an adult's. The park offers half off of all entry tickets during the off-peak season. The Sandlers paid a total of $78 for 1 adult ticket and 2 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.

78 = x + (x - 6)

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

$50

$56

$75

$81

Answer 1

I think there is something wrong with your equation. 78dollars is the price of 1 adult ticket and 2 children ticket.
So,
78 = x + 2(x - 6)
since 78 is the amount cost during off peak, during regular periods,
it will cost 78*2= 156dollars
156=x+2(x-6)
156= 3x-12
3x= 168
x=56

Child ticket cost, 56-6=50 dollars

Answer 2

Thanks!!