Christine has 28 jazz songs and classical songs on a playlist. The play list has 3 times as many jazz songs as classical songs. She has 7 times as many rock songs as classical songs. How many Jazz songs are in the playlist? How many rock songs are on the playlist?

Question

Mathematics

Raul Pham

29 November, 20:31

Christine has 28 jazz songs and classical songs on a playlist. The play list has 3 times as many jazz songs as classical songs. She has 7 times as many rock songs as classical songs. How many Jazz songs are in the playlist? How many rock songs are on the playlist?

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Answers (1)

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Devin Guerra · Answer 1

I assume you mean the total number of jazz and classical songs combined is 28 songs?

3 times as many jazz as classical:

Means there is a ratio of 3 jazz to 1 classical, which means there are essentially 4 parts (3+1=4). So if we divide 28/4=7. This gives one part = number of classical songs, jazz is 3 parts so 7*3=21 jazz songs.

7 times as many rock as classical:

From above we know there are 7 classical songs. 7*7=49 rock songs.

Jazz=21 songs

Rock=49 songs