2012 Pascal Problem 19

In the diagram, rectangle PRTV is divided into four rectangles. The area of rectangle PQXW is 9. The area of rectangle QRSX is 10. The area of rectangle XSTU is 15. What is the area of rectangle WXUV?

\textbf{(A)}\ 6\quad \textbf{(B)}\ \frac{27}{2}\quad \textbf{(C)}\ 14\quad \textbf{(D)}\ \frac{50}{3}\quad \textbf{(E)}\ \frac{95}{2}

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Pascal contests here.