2009 Gauss 8 Problem 14

Vanessa set a school record for most points in a single basketball game when her team scored 48 points. The six other players on her team averaged 3.5 points each. How many points did Vanessa score to set her school record?

\textbf{(A)}\ 21\quad \textbf{(B)}\ 25\quad \textbf{(C)}\ 32\quad \textbf{(D)}\ 17\quad \textbf{(E)}\ 27

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Gauss contests here.