When $\frac{2}{9}$ of the votes on a certain resolution have been counted, $\frac{3}{4}$ of those counted are in favor of the resolution. What fraction of remaining votes must be against the resolution so that the total count will result in vote of 2 to 1 against the resolution?

a) $\frac{11}{14}$

b) $\frac{13}{18}$

c) $\frac{4}{7}$

d) $\frac{5}{14}$

e) $\frac{3}{14}$