2001 Gauss 8 Problem 11

In a class of 25 students, each student has at most one pet. Three-fifths of the students have cats, 20% have dogs, three have elephants, and the other students have no pets. How many students have no pets?

\textbf{(A)}\ 5\quad \textbf{(B)}\ 4\quad \textbf{(C)}\ 3\quad \textbf{(D)}\ 2\quad \textbf{(E)}\ 1

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.