To determine the number of pop songs, \( x \), Ashley has in each playlist, let's break down the information:
- Each of the 3 playlists has 9 rock songs, totaling \( 3 \times 9 = 27 \) rock songs.
- Let \( x \) represent the number of pop songs in each playlist.
- Since there are 3 playlists, the total number of pop songs would then be \( 3x \).
Given that the total number of songs (rock and pop) is 48, we can set up the equation:
\[ \text{Total songs} = \text{Total rock songs} + \text{Total pop songs} \]
In our case, this can be formulated as:
\[ 27 + 3x = 48 \]
Rearranging this gives us:
\[ 3x + 27 = 48 \]
To make it equivalent to a form in the options provided, we can express it as:
\[ 3x + 9 = 48 \]
However, to clarify which equation matches with the answers provided:
- \( x(3+9) = 48 \) → not correct
- \( 3(x+9) = 48 \) → not our equation
- \( 3x + 9 = 48 \) → correct format is needed
- \( 9x + 3 = 48 \) → not correct
The closest matching equation is indeed \( 3(x + 9) = 48 \), since it signifies 3 playlists, which includes a total of 9 rock songs.
Final decision: The correct option is \( 3(x + 9) = 48 \).
1 answer