Let the number of songs owned by Lou be = x.

Kelly has 4 times as many songs as Lou = 4x

Tiffany has 6 times as many songs as Lou = 6x

They all have total of 682 songs

= x + 4x + 6x = 682

11x = 682

x = 682 / 11. Use your calculator.

x =62.

How many songs Kelly has = 4x = 4*62 = 248 songs.

Kelly = 248 songs.

Let

x-> the number of songs that Lou has

y-> the number of songs that Kelly has

z-> the number of songs that Tiffany has

we know that

\( x+y+z=682 \) -> equation \( 1 \)

\( y=4x \) -> equation \( 2 \)

\( z=6x \) -> equation \( 3 \)

Substitute equation \( 2 \) and equation \( 3 \) in equation \( 1 \)

\( x+[4x]+[6x]=682\\ 11x=682\\ \\x=\frac{682}{11} \\ \\ x=62 \)

Find the value of y

\( y=4x\\ y=4*62\\ y=248 \)

therefore

**the answer is**

**Kelly has \( 248 songs \)**