2010 AMC 8 Problem 11

The top of one tree is 16 feet higher than the top of another tree. The heights of the two trees are in the ratio 3:4. In feet, how tall is the taller tree?

\textbf{(A)}\ 48 \qquad\textbf{(B)}\ 64 \qquad\textbf{(C)}\ 80 \qquad\textbf{(D)}\ 96\qquad\textbf{(E)}\ 112

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.