2014 AMC 12A Problems/Problem 2

Solution

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*} (Error compiling LaTeX. Unknown error_msg)

Plug in for 8 adult tickets and 6 child tickets.

\begin{eqnarray*}

8x + 6(x/2) &=& 8(3.50) + 3(3.50)\\ 
&=&\boxed{\textbf{(B)}\ \ 38.50}\\

\end{eqnarray*} (Error compiling LaTeX. Unknown error_msg)