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 of 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= 1/2x+2(x-9)
What is the regular price of a child's ticket?

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 of 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= 1/2x+2(x-9)
What is the regular price of a child's ticket?

campbell_st · Answer

solve the equation for x

1st expand the brackets and collect like terms

1/2x + 2x - 18 = 132

5/2 x - 18 = 132

add 18 to both sides

5/2x = 150

5x = 300

x = 60

the adult price is $60 

the childs price is 60 - 9 = $51