A radio station plays a total of 272 pop, rock, and hip-hop songs during a day. The number of pop songs is 3 times the number of rock songs. The number of hip-hop songs is 32 more than the number of rock songs. How many of each type of song does the radio station play?

Question

Mathematics

Nikolai Warren

17 July, 06:30

A radio station plays a total of 272 pop, rock, and hip-hop songs during a day. The number of pop songs is 3 times the number of rock songs. The number of hip-hop songs is 32 more than the number of rock songs. How many of each type of song does the radio station play?

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Gage Mclean · Answer 1

Let r=no. of rock songs.

No. of pop songs=3r, no. of hip-hop songs=r+32

Total=272=r+3r+r+32=5r+32, 5r=240, r=48.

48 rock songs, 144 pop songs, 80 hip-hop songs.