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 of 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-halfx + 2(x - 8)

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

$68

$84

$89

$105

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 of 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-halfx + 2(x - 8)

What is the regular price of a child's ticket?

$68

$84

$89

$105

anonymous · Answer

You'll want to start by trying to isolate x. Start by distributing the 2 onto (x-8) 

 194 = 0.5x + 2x - 16 

 Now you can combine like terms 

 194 = 2.5x - 16 

 Add 16 to both sides 

 194 + 16 = 2.5x 

 Now divide both sides by 2.5 to get x by itself 

 (194 + 16) / 2.5 = x 

 210 / 2.5 = x 

 x will be the price of an adult ticket. The answer is $84. Now to find the price of a child's ticket, just subtract 8 from that, which is $76. So your answer is B

anonymous · Answer

thanks(: