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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?

Sagot :

Olemakpaduidn
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.
Calculistaidn

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

[tex] x+y+z=682 [/tex] ---------> equation [tex] 1 [/tex]

[tex] y=4x [/tex] ---------> equation [tex] 2 [/tex]

[tex] z=6x [/tex] ---------> equation [tex] 3 [/tex]

Substitute equation [tex] 2 [/tex] and equation [tex] 3 [/tex] in equation [tex] 1 [/tex]

[tex] x+[4x]+[6x]=682\\ 11x=682\\ \\x=\frac{682}{11} \\ \\ x=62 [/tex]

Find the value of y

[tex] y=4x\\ y=4*62\\ y=248 [/tex]

therefore

the answer is

Kelly has [tex] 248 songs [/tex]

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