AMC 8 2008 Problem 15

In Theresa's first $8$ basketball games, she scored $7, 4, 3, 6, 8, 3, 1$ and $5$ points. In her ninth game, she scored fewer than $10$ points and her points-per-game average for the nine games was an integer. Similarly in her tenth game, she scored fewer than $10$ points and her points-per-game average for the $10$ games was also an integer. What is the product of the number of points she scored in the ninth and tenth games? $\textbf{(A)}\ 35 \textbf{(B)}\ 40 \textbf{(C)}\ 48 \textbf{(D)}\ 56 \textbf{(E)}\ 72$