Answer :
To solve this problem, we need to find the algebraic equation that models Sherry's situation. Let's break it down step by step:
1. Identify the known values:
- Sherry originally had 186 songs in her playlist.
- After adding some songs, she now has a total of 205 songs.
2. Determine what we're solving for:
- We need to find the number of songs she added, which we'll represent with the variable [tex]\( x \)[/tex].
3. Set up the equation:
- Initially, Sherry had 186 songs.
- She added [tex]\( x \)[/tex] songs to her playlist.
- Now, her playlist contains 205 songs.
We can model this situation with the following equation:
[tex]\[
186 + x = 205
\][/tex]
This equation shows that the original number of songs (186) plus the added songs ([tex]\( x \)[/tex]) equals the new total number of songs (205).
4. Check the options:
- Option C: [tex]\( 186 + x = 205 \)[/tex]
This option correctly represents the situation where 186 plus the added songs equals 205.
Therefore, the correct algebraic equation is option C: [tex]\( 186 + x = 205 \)[/tex].
1. Identify the known values:
- Sherry originally had 186 songs in her playlist.
- After adding some songs, she now has a total of 205 songs.
2. Determine what we're solving for:
- We need to find the number of songs she added, which we'll represent with the variable [tex]\( x \)[/tex].
3. Set up the equation:
- Initially, Sherry had 186 songs.
- She added [tex]\( x \)[/tex] songs to her playlist.
- Now, her playlist contains 205 songs.
We can model this situation with the following equation:
[tex]\[
186 + x = 205
\][/tex]
This equation shows that the original number of songs (186) plus the added songs ([tex]\( x \)[/tex]) equals the new total number of songs (205).
4. Check the options:
- Option C: [tex]\( 186 + x = 205 \)[/tex]
This option correctly represents the situation where 186 plus the added songs equals 205.
Therefore, the correct algebraic equation is option C: [tex]\( 186 + x = 205 \)[/tex].
