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

@Night-Watcher

Answer 2

132 = 1/2x + 2 (x - 9) --- distribute through the parenthesis
132 = 1/2x + 2x - 18 -- add 18 to both sides
132 + 18 = 1/2x + 2x -- combine like terms
150 = 1/2x + 4/2x
150 = 5/2x
150/(5/2) = x
150 * 2/5 = x
300/5 = x
60 = x

check..
132 = 1/2(60) + 2(60 - 9)
132 = 30 + 2(51)
132 = 30 + 102
132 = 132 (correct)

regular price of adults ticket (x) = $60
so if the regular price of a childs ticket is 9 less, then a childs ticket costs $51