Bunuel
At the beginning of the session, a class of MBA (Finance) and a class of MBA (Marketing) of a college each had n candidates. At the end of the session, 6 candidates left MBA (Finance) course and 4 candidates left MBA (Marketing) course. How many candidates did MBA (Finance) course have at the beginning of the session?
(1) The ratio of the total number of candidates who left at the end of the session to the total number of candidates at the beginning of the session was 1:5.
(2) At the end of the session, 21 candidates remained on MBA (Marketing) course.
We could make a table to condense the information:
\[
\begin{matrix}
Finance & Marketing \\
n & n \\
n - 6 & n - 4
\end{matrix}
\]
We are looking for n.
Statement 1:Now we can add an extra column for "total":
\[
\begin{matrix}
Finance & Marketing&Total\\
n & n & 2n\\
n - 6 & n - 4 & 2n - 10
\end{matrix}
\]
The total number of candidates who left was 10, so \(10:2n = 1:5\). We can solve for n, sufficient.
Statement 2:\(n - 4 = 21\). Sufficient.