Eric, Kim, and Ed are trading downloaded songs. First, Eric gives Kim half of his songs. Then Kim gives one-third of her songs, which is 6 songs, to Ed. Finally, Ed gives Eric 2 songs. Because everyone end up with 12 songs, how many songs did Kim start with? How many songs did Eric start with?

Respuesta :

The number of songs Kim started with are 18songs while the number of songs Eric started with are 36 songs.

Calculation of total songs owned by each trader

Firstly, Kim = 1/2 of Eric's

Ed = 1/3 of Kim= 6 songs

Eric = 2 songs

Total songs by the whole traders is = 12 ×3 = 36songs

  • To find the total songs for Kim,

If Kim gave Ed, 1/3 of her songs =6 , then her whole song is 6×3 = 18songs.

But she gave out 6 to Ed so 12 songs will remain.

  • To find total songs by Eric,

If 18 songs received by Kim is half of Eric songs therefore, 18×2 = 36

But half was given to Kim therefore 18 songs is remaining for Eric

  • To find total songs by Ed,

Ed received 6songs from kim and gave out 2, there, 4 songs is remaining for Ed.

Therefore the number of songs Kim started with are 18songs while the number of songs Eric started with are 36 songs.

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