2000 Gauss 8 Problem 25

The cookies in a jar contain a total of 1000 chocolate chips. All but one of these cookies contains the same number of chips; it contains one more chip than the others. The number of cookies in the jar is between one dozen and three dozen. What is the sum of the number of cookies in the jar and the number of chips in the cookie with the extra chocolate chip?

\textbf{(A)}\ 65\quad \textbf{(B)}\ 64\quad \textbf{(C)}\ 63\quad \textbf{(D)}\ 66\quad \textbf{(E)}\ 67

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.