1963 AHSME Problem 31

The number of solutions in positive integers of 2x+3y=763 is:

\textbf{(A)}\ 255 \qquad \textbf{(B)}\ 254\qquad \textbf{(C)}\ 128 \qquad \textbf{(D)}\ 127 \qquad \textbf{(E)}\ 0

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