AMC 12 2014a Problem 2

At the theater children get in for half price. The price for $5$ adult tickets and $4$ child tickets is $\$24.50$. How much would $8$ adult tickets and $6$ child tickets cost?

$\textbf{(A) }\$35 \textbf{(B) }\$38.50 \textbf{(C) }\$40 \textbf{(D) }\$42 \textbf{(E) }\$42.50$