AMC 12 2006a Problem 9

Oscar buys $13$ pencils and $3$ erasers for $1.00$. A pencil costs more than an eraser, and both items cost a whole number of cents. What is the total cost, in cents, of one pencil and one eraser? $\mathrm{(A)}\ 10 \mathrm{(B)}\ 12 \mathrm{(C)}\ 15 \mathrm{(D)}\ 18 \mathrm{(E)}\ 20$