2014 AMC 12A Problems/Problem 2
Suppose is the price of an adult ticket. The price of a child ticket would be
.\\
\begin{eqnarray}
5x + 4(x/2) = 7x = 24.50\\
x = 3.50\\
\end{eqnarray}
Plug in for 8 adult tickets and 6 child tickets.\\
\begin{equation}
8x + 6(x/2) = 8(3.50) + 3(3.50) = \framebox{38.50}
\end{equation}