Question

Katherine has 32 pop songs in 72 rock songs on her MP3 player that she will be organizing into paulista. Que want to por an erial nombre of pop sounfs and an erial nombre of rock sounfs in to each playlist. the greatest number of playlist Catherine can make is what? each of these playlist will have how many pop songs and how many rock songs?

Answer 1

Answer: The greatest  number of playlist Katherine can make =8

Each of playlist will have 4 pop songs and 9 rock songs.

Step-by-step explanation:

Given: The number of pop songs Katherine has= 32

The number of rock songs Katherine has= 72

If she want to make playlist such that in each playlist there is equal number of pop and rock songs, we need to find the GCF(greatest common factor) of 32 and 72.

We know that $32=2\times2\times2\times2\times2\\72=2\times2\times2\times3\times3$

We can see the GCF(32,72)=$2\times2\times2=8$

Hence, the greatest  number of playlist Katherine can make =8

The number of pop songs= $\frac{32}{8}=4$

the number of rock songs=$\frac{72}{8}=9$

Each of playlist will have 4 pop songs and 9 rock songs.