Final answer:
Kelly has 248 songs on her music player. We found this by first finding Lou's number of songs (x) and knowing that Kelly has 4 times Lou's amount, so 4x = 248 after solving the equation x + 4x + 6x = 682, which represents the total number of songs they have together.
Step-by-step explanation:
To solve the problem of how many songs Kelly has on her music player, we need to use algebra. Let's define Lou's number of songs as x. Since Kelly has 4 times as many songs as Lou, she has 4x songs. Tiffany has 6 times as many songs as Lou, which is 6x songs. It's given that together, they have a total of 682 songs. We can express this with the equation:
x + 4x + 6x = 682
This simplifies to 11x = 682. Dividing both sides by 11 gives us x = 62. Now that we know Lou's number of songs, we can find out how many songs Kelly has by calculating 4x, which is 4 * 62 = 248 songs.
Therefore, Kelly has 248 songs on her music player.