The regular price of a childs entry ticket to a waterpark is $8 less than that for an adults ticket. 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 childs tickets to the waterpark during the off peak season. The following equation represents the situation where x represents the regular price of an adult ticket 194= 1/2x+2(x-8)

The regular price for a child is 76$

Step-by-step explanation:

$76.

Step-by-step explanation:

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

194 = x + 2 ( x-8 )

Now we multiply the equation by 2

2 × 194 = 2 [ x + 2 (x-8) ]

388 = x + 4 ( x-8 )

388 = x + 4x - 32

388 = 5x - 32

388 + 32 = 5x

420 = 5x

5x =  = 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

$76 is the answer.

I hope this helps u! :D

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign