AHSME 1967 Problem 24

The number of solution-pairs in the positive integers of the equation $3x+5y=501$ is: $\textbf{(A)}\ 33 \textbf{(B)}\ 34 \textbf{(C)}\ 35 \textbf{(D)}\ 100 \textbf{(E)}\ \text{none of these}$