Final answer:
The band initially expects to have 16 songs on their album, writes 62.5% more, totaling 26 songs, but after removing 50% during the editing process, they are left with a final count of 13 songs on the album.
Step-by-step explanation:
To calculate the total number of songs written and recorded by the band, we need to first determine how many additional songs they produced beyond the initial expected 16 songs. We use the given percentage of 62.5% more songs written to find this.
The calculation is:
- Percentage increase calculation: 16 songs × 0.625 = 10 additional songs.
- Total songs written: 16 songs + 10 songs = 26 songs.
- During the editing process, 50% of the songs are removed: 26 songs ÷ 2 = 13 songs.
Therefore, the final album will have 13 songs after the editing process.