Final answer:
Seiki's band knew how to play 6 songs at the start of the year, having learned 4 new songs in the first month to have a current total of 10 songs.
Step-by-step explanation:
The question requires us to determine how many songs Seiki's band knew before they began learning 4 new songs each month this year. According to the information provided, the band knows 10 songs after one month and they have learned 4 new songs this month. To find out how many songs they knew at the beginning of the year, we can subtract the number of new songs learned from the total number of songs they know now.
Here is the calculation:
- Total number of songs now: 10 songs
- Number of new songs learned in one month: 4 songs
- Number of songs known at the beginning of the year = Total songs now - New songs learned
- Number of songs known at the beginning of the year = 10 songs - 4 songs
- Number of songs known at the beginning of the year = 6 songs
Therefore, Seiki's band knew how to play 6 songs at the start of the year.