AMC 8 1987 Problem 24

A multiple choice examination consists of $20$ questions. The scoring is $+5$ for each correct answer, $-2$ for each incorrect answer, and $0$ for each unanswered question. John's score on the examination is $48$. What is the maximum number of questions he could have answered correctly? $\text{(A)}\ 9 \text{(B)}\ 10 \text{(C)}\ 11 \text{(D)}\ 12 \text{(E)}\ 16$