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 = 1/2x + 2(x - 8)

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

$68

$76

$84

$89

Answer 1

@dpaInc

Answer 2

Im going to close the question but i still need help lol

Answer 3

let A = price of adult tickets
so K = A-8 is the price of kid tickets

so
194 = 1*A/2 + 4*K/2
\(\large 194=\frac{A}{2}+4\cdot \frac{K}{2} \)
\(\large 194=\frac{A}{2}+2K \)
now replacing K with A-8 we have:
\(\large 194=\frac{A}{2}+2(A-8) \)
\(\large 194=\frac{A}{2}+2A-16 \)
\(\large 388=A+4A-32 \) multiplied both sides by 2 to clear the fraction
\(\large 388=5A-32 \)
\(\large 420=5A \)
84 = A

so K = 84 - 8 = 76

Answer 4

so its B?? thanks :)