AHSME 1983 Problem 9

In a certain population the ratio of the number of women to the number of men is $11$ to $10$. If the average (arithmetic mean) age of the women is $34$ and the average age of the men is $32$, then the average age of the population is $\textbf{(A)}\ 32\frac{9}{10} \textbf{(B)}\ 32\frac{20}{21} \textbf{(C)}\ 33 \textbf{(D)}\ 33\frac{1}{21} \textbf{(E)}\ 33\frac{1}{10}$