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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
We can see the GCF(32,72)=
Hence, the greatest number of playlist Katherine can make =8
The number of pop songs=
the number of rock songs=
Each of playlist will have 4 pop songs and 9 rock songs.