Of the students in a certain school, 15 percent are enrolled

Hi MBAWaters,
the students enrolled in the other subjects will simply go in the "not enrolled in either music or art" category

one simple way to solve these type of questions is using a 2d matrix (my preferred method).

let me know if you want me to explain this method

-buff

I don't think there's a problem with the other classes. The question asks specifically for those who were neither in music nor arts. The answer is still A and explanation still works no matter how many other subjects are there.

the way i do this is as this...

total=Arts+Music-both+Neither..

100%=15+10-10=15...

Neither will have to be 85%..A is sufficient

hi All,

a couple of people have asked me how this is solved with a 2d matrix.

below is how i normally do these type of questions


Of the students in a certain school, 15 percent are enrolled in an art class and 10 percent are enrolled in a music class. What percent of the students in the school are enrolled in neither an art class nor a music class?


the matrix looks like
\(\begin\\
\begin{tabular}{|l|l|l|l|}\hline\\
& Art & not Art & total \\ \hline\\
Music & & &10%\\ \hline\\
not Music & &x \\ \hline\\
total &15% & &100% \\ \hline\\
\end{tabular}\)

for the statements:
(1) 2/3 of the students who are enrolled in an art class are also enrolled in a music class.

\(\begin\\
\begin{tabular}{|l|l|l|l|}\hline\\
& Art & not Art & total \\ \hline\\
Music &\frac{2}{3} * 15 = 10%& 0 &10%\\ \hline\\
not Music & &x = 100-15 = 85% \\ \hline\\
total &15% & 100-15 = 85% &100% \\ \hline\\
\end{tabular}\)

from the above it can be deduced that x = 85%

(2) There are more than 100 students in the school.

\(\begin\\
\begin{tabular}{|l|l|l|l|}\hline\\
& Art & no Art & total \\ \hline\\
Music & & &10%\\ \hline\\
not Music & &x \\ \hline\\
total &15% & &100% > 100 students \\ \hline\\
\end{tabular}\)


from statement 2) we get no additional information that is useful

therefore A


hope that helps


-buff

I prefer to use the following method:
Total=A+B-Both+Neither
(1) is telling Neither
Sufficient
A should be the answer

The answer is A. I would recommend looking up set theory and venn diagrams, which will help immediately clarify questions such as this.