Question

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?

Answer 1

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=(682)/(11) \\ \\ x=62`

Find the value of y

`y=4x\\ y=4*62\\ y=248`

therefore

the answer is

Kelly has
`248 songs`

Answer 2

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.