Question

Ashley created 3 music playlists using a total of 48 rock and pop songs. Each playlist has 9 rock songs. Each playlist also has the same number of pop songs. Which equation could be used to determine the number of pop songs, x

, Ashley has in each playlist?

Responses
1. x(3+9)=48
2. 3(x+9)=48
3. 3x+9=48
4. 9x+3=48

Answer 1

2. 3(x+9)=48

Step-by-step explanation:

Distribute 3 to x and 9 to get 3x + 27 = 48

Subtract 27 from both sides to get 3x = 21

Divide both sides by 3 to get x = 7

That means each playlist has 9 rock songs and 7 pop songs.

Answer 2

2. 3(x + 9) = 48

Step-by-step explanation:

We are given

• There are a total of 3 playlists
• There are a total of 48 rock and pop songs
• Each playlist has 9 rock songs
• Each playlist has x pop songs

If each playlist has 9 rock songs and x pop songs, then each playlist has 9 + x songs.

If there are three playlists, there are three playlists which each have x + 9 songs. In other words, 3(x+9). This represents the total number of songs, which is 48. Therefore the answer is 3(x+9)=48.

Hope this helps!