AMC 8 2008 Problem 20

The students in Mr. Neatkin's class took a penmanship test. Two-thirds of the boys and $\frac{3}{4}$ of the girls passed the test, and an equal number of boys and girls passed the test. What is the minimum possible number of students in the class? $\textbf{(A)}\ 12 \textbf{(B)}\ 17 \textbf{(C)}\ 24 \textbf{(D)}\ 27 \textbf{(E)}\ 36$