At a magazine, the ratio of• artists to photographers is 3:2.• photographers to writers is 1:3.• writers to editors is 2:1.There are 9 artists. How manyphotographers, writers, andeditors does the magazine have?

Respuesta :

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.