AMC 12 2002b Problem 8

Suppose July of year $N$ has five Mondays. Which of the following must occur five times in August of year $N$? (Note: Both months have 31 days.)

$\mathrm{(A)}\ \text{Monday} \mathrm{(B)}\ \text{Tuesday} \mathrm{(C)}\ \text{Wednesday} \mathrm{(D)}\ \text{Thursday} \mathrm{(E)}\ \text{Friday}$