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 = one-half x + 2(x − 8)

What is the regular price of a child's ticket? (5 points)

a
$68

b
$76

c
$84

d
$89

Answer 1

76

Explanation:

so first the equation for the situation has been given which is

194=1/2x + 2x - 16

now you can just solve since it's a linear equation

194=2.5x -16

take 16 to the other side to get

210=2.5x

solve to get x (adult price)

which is 84

remember the. child's price is 8 less

84-8=76