Jack has 120 songs on his music player. Some are rock, some are jazz, and the rest of classical pieces. If his music player is on who random shuffle mode the probability that it will be to play a classical piece is 2/5 and the probability that it will play a jazz piece is 1/3. How many songs of each type are on jacks music player?

Question

Aussie

Mathematics

18 February, 01:41

Jack has 120 songs on his music player. Some are rock, some are jazz, and the rest of classical pieces. If his music player is on who random shuffle mode the probability that it will be to play a classical piece is 2/5 and the probability that it will play a jazz piece is 1/3. How many songs of each type are on jacks music player?

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Jalen · Answer 1

2/5 and 1/3 have a common denominator of 15. 6/15, 5/15, and 4/15 add up to 15/15. So the chances of rock are 4/15. 120 divided by 15 is 8. Six times eight equals fourty eight, five times eight equals forty, and four times eight equals thirty two. So there are 48 classical songs, 40 jazz songs, and 32 rock songs.