You work as a disc jockey at your college radio station.You are supposed to play 44 songs within two hours.You are to choose the songs from the latest rock,dance,and pop albums.You want to play twice as many rock songs as pop songs and four more pop songs than dance songs.How many of each type of song will you play?

Question

You work as a disc jockey at your college radio station.You are supposed to play 44 songs within two hours.You are to choose the songs from the latest rock,dance,and pop albums.You want to play twice as many rock songs as pop songs and four more pop songs than dance songs.How many of each type of song will you play? ​

Quizplus · Accepted Answer

Let the number of dance songs be D, pop songs be P, and rock songs be R. The conditions are R = 2P and P = D + 4. The total number of songs is 44, so R + P + D = 44. Substituting the conditions into the equation, we get 2P + P + (P - 4) = 44, which simplifies to 4P - 4 = 44, leading to P = 12. Therefore, D = P - 4 = 8, and R = 2P = 24.

You Work as a Disc Jockey at Your College Radio