A survey was conducted among 400 students of age groups 7-12 years and 13-18 years to find their favorite music genre. The students had to select any one genre out of jazz, rock, and pop. Out of the 200 students in the age group 7-12 years who participated in the survey, 142 liked rock or pop music. The total number of students of both age groups who liked jazz was 72.

Question

anonymous · Answer

Using a two-way table, compute the total number of students in the age group 13-18 years who liked rock or pop music.
A) 122 
B) 130 
C) 142 
D) 186

anonymous · Answer

no clue what to ddo

geerky42 · Answer

Have you tried making two-way table?

anonymous · Answer

no i havnt not sure how

anonymous · Answer

just went through the lesson on two way tables ill make it

anonymous · Answer

i got 186. that corect?

geerky42 · Answer

Your table should looks like this:
$$\begin{array}{|c|c|c|}
\hline
&7~-~12&13-18\
\hline
Pop&&\
\hline
Rock&&\
\hline
Jazz&&\
\hline
\end{array}$$

And we know that out of the 200 students in the age group 7-12 years who participated in the survey, 142 liked rock or pop music, We could just say that all of them like rock.

So we have:
$$\begin{array}{|c|c|c|}
\hline
&7~-~12&13-18\
\hline
Pop&0&\
\hline
Rock&142&\
\hline
Jazz&&\
\hline
\end{array}$$

And we know that total of them are 200. So what should be in Jazz for 7-12?