Question

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?

Answer 1

6 photographers, 18 writers, and 9 editors.

Step-by-step explanation:

The ratio of artists to photographers is 3:2

There are 9 artists.

Let the number of photographers = x.

Thus:

`\begin{gathered} (3)/(2)=(9)/(x) \\ 3x=9*2 \\ x=(18)/(3) \\ x=6 \end{gathered}`

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:

`\begin{gathered} (1)/(3)=(6)/(y) \\ y=6*3 \\ y=18 \end{gathered}`

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:

`\begin{gathered} (2)/(1)=(18)/(z) \\ 2z=18 \\ z=(18)/(2) \\ z=9 \end{gathered}`

The number of editors is 9.