Kelly has 4 times as many songs on her music player as Lou. Tiffany has 6 times as many songs on her music player as Lou. Altogether, they have 682 songs on their music players. How many songs does Kelly have?

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 \( 248 songs \)


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