turkey-yks 2014 Q28

turkey-yks · Other · ygs Not Maths
Ayşe, Bora, and Can have a total of 72 marbles.
  • Ayşe sets aside half of her marbles for Bora,
  • Bora sets aside one-third of his marbles for Can,
  • Can sets aside one-quarter of his marbles for Ayşe and they give these set-aside marbles to each other at the same time.

Given that no one's number of marbles changes in the end, how many marbles does Ayşe have?
A) 12
B) 16
C) 18
D) 20
E) 24
Ayşe, Bora, and Can have a total of 72 marbles.

\begin{itemize}
  \item Ayşe sets aside half of her marbles for Bora,
  \item Bora sets aside one-third of his marbles for Can,
  \item Can sets aside one-quarter of his marbles for Ayşe\\
and they give these set-aside marbles to each other at the same time.
\end{itemize}

Given that no one's number of marbles changes in the end, how many marbles does Ayşe have?\\
A) 12\\
B) 16\\
C) 18\\
D) 20\\
E) 24