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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?

Respuesta :

Demiurgos
If we solve the given equation it will give us the regular price of the adult ticket.
[tex]194=\frac{x}{2}+2(x-8)\\
194=\frac{x}{2}+2x-16\\
194=\frac{x}{2}+\frac{4x}{2}-16\\
194=\frac{5x}{2}-16\\ \frac{5x}{2}=210\\ x=$84[/tex]
We know that regular child's ticket is $8 cheaper than the regular adult's ticket.
So, the price of the regular child's ticket is $76.