Answer:
6 photographers, 18 writers, and 9 editors.
Explanation:
The ratio of artists to photographers is 3:2
There are 9 artists.
Let the number of photographers = x.
Thus:
[tex]\begin{gathered} \frac{3}{2}=\frac{9}{x} \\ 3x=9\times2 \\ x=\frac{18}{3} \\ x=6 \end{gathered}[/tex]The number of photographers is 6.
The ratio of photographers to writers is 1:3.
There are 6 photographers
Let the number of writers= y.
Thus:
[tex]\begin{gathered} \frac{1}{3}=\frac{6}{y} \\ y=6\times3 \\ y=18 \end{gathered}[/tex]The number of writers is 18.
The ratio of writers to editors is 2:1.
There are 18 writers
Let the number of editors= z.
Thus:
[tex]\begin{gathered} \frac{2}{1}=\frac{18}{z} \\ 2z=18 \\ z=\frac{18}{2} \\ z=9 \end{gathered}[/tex]The number of editors is 9.