Yun Sil added twice as many new songs on her MP3 player as Matt, who added 5 more new songs on his MP3 player than Sierra. The sum of the

songs added on all three players is 15 more than the cube of the number of songs added on Sierra's player. About how many songs are on each

person's player?

Question

Mathematics

Answered

Yun Sil added twice as many new songs on her MP3 player as Matt, who added 5 more new songs on his MP3 player than Sierra. The sum of the

songs added on all three players is 15 more than the cube of the number of songs added on Sierra's player. About how many songs are on each

person's player?

Answer :

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TUTORANNEGO TUTORANNEGO · Answer 1

Answer:

Sierra=2songs

Matt=7songs

Yun SIl=14songs

step-by-step explanation:

Step 1

Let,The number of songs YunSil added = x

Number of songs Matt added = y

And number of songs Sierra added = z

Such that Matt has 5more than Sierra =y = 5 +z

Yun SIl has 2 times more thann Matt, x = 2y

x =2(5+z)=10 +2z

Step 2

The expression used to determine number of songs on each player given that the total of songs added on the three players =15 +z^3

Such that

YunSil+Matt+Sierra==15 +z^3

10+2z+ 5+z +z = 15 +z^3

4z +15 = 15 +z^3

4z=15-15+z^3

4z=+z^3

4=z^3/z

4=z^2

Z=√4 =2

Therefore Sierra has z=2songs

Matt has 5+z=5+2=7songs

YunSil has 2(5+z)= 2x7=14songs

VINTECHNOLOGYGO VINTECHNOLOGYGO · Answer 2

The song that are on each person player are as follows;

matt song = 7

Yung Sil song = 14

Sierra song = 2

Let

a = Matt song added

b = Yun Sil song

c = Sierra song =

Therefore,

b = 2a

a = c + 5

(c + 5 + 2a + c) - c³ = 15

(2c + 2(c + 5) + 5) - c³ = 15

2c + 2c + 10 + 5 - c³ = 15

4c + 15 - c³ = 15

4c - c³ = 0

c³ = 4c

c² = 4

c = √4

c = 2

a = 2 + 5 = 7

b = 2(7) = 14

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