Respuesta :
Answer:
[tex]3.2\:\text{hours}[/tex] is spent playing dance music.
Step-by-step explanation:
Given: During [tex]24[/tex] hours a radio station spends [tex]\frac{1}{5}[/tex] of the time playing rock music, [tex]\frac{2}{3}[/tex] playing hip hop, and the rest playing dance music.
To find: How much time is spent playing dance music?
Solution:
We have,
Radio station spends [tex]\frac{1}{5}[/tex] of the time playing rock music.
Radio station spends [tex]\frac{2}{3}[/tex] of the time playing hip hop.
Radio station spends rest of the time playing dance music.
So,
Time spend on playing rock music [tex]=\frac{1}{5}\times24 = 4.8\:\text {hours}[/tex]
Time spend on playing hip hop [tex]=\frac{2}{3}\times24 = 16\:\text {hours}[/tex]
Now, total time radio station spends on all the three music is [tex]24[/tex] hours.
Therefore, rest of the time[tex]=24-(16+4.8)=3.2\:\text{hours}[/tex]
It is given that in the rest of the time, the radio station plays dance music.
Hence, [tex]3.2\:\text{hours}[/tex] is spent playing dance music.
