\c{C}\i{}nar has a total of 78 pens, some of which are blue. He distributed these pens among three pen holders as follows.
The number of pens in the pen holders is directly proportional to 3, 4, and 6.
The number of blue pens in each pen holder is equal to each other.
In one of the pen holders, the ratio of the number of blue pens to the total number of pens in that holder is $\frac{1}{2}$; in another pen holder, this ratio is $\frac{1}{3}$.
Accordingly, how many blue pens does \c{C}\i{}nar have in total? A) 18 B) 24 C) 27 D) 30 E) 36
\c{C}\i{}nar has a total of 78 pens, some of which are blue. He distributed these pens among three pen holders as follows.
\begin{itemize}
\item The number of pens in the pen holders is directly proportional to 3, 4, and 6.
\item The number of blue pens in each pen holder is equal to each other.
\item In one of the pen holders, the ratio of the number of blue pens to the total number of pens in that holder is $\frac{1}{2}$; in another pen holder, this ratio is $\frac{1}{3}$.
\end{itemize}
Accordingly, how many blue pens does \c{C}\i{}nar have in total?\\
A) 18\\
B) 24\\
C) 27\\
D) 30\\
E) 36