To determine the number of songs Kelly has, we denote the number of songs Lou has as L. We use the equation L + 4L + 6L = 682, which simplifies to 11L = 682. Upon solving, we find that Kelly has 248 songs on her music player.
The question involves solving a system of linear equations to find out how many songs Kelly has on her music player.
Let's denote the number of songs Lou has as L.
According to the problem, Kelly has 4 times as many songs on her player as Lou, so Kelly has 4L songs.
Tiffany has 6 times as many songs as Lou, so she has 6L songs.
Together, they have a total of 682 songs on their music players.
We can write this as an equation:
L + 4L + 6L = 682
This simplifies to 11L = 682.
To find the number of songs Lou has, we need to divide 682 by 11:
L = 682 / 11
L = 62 songs.
Finally, to find out how many songs Kelly has, we multiply Lou's number of songs by 4:
4L = 4 * 62
4L = 248 songs.
Thus, Kelly has 248 songs on her music player.