Answer: There are 184 total number of CDs they own.
Explanation:
Since we have given that
Ratio of rock music to total CDs that Ella Owens is

Now, Number of rock music CDs Paolo has = 50
According to question, the ratio of rock music to total CDs in his collection is equivalent to the ratio of rock music to total music to total CDs in ours collection,

Let the total number of CDs be x
So, our equation becomes,

Hence, there are 184 total number of CDs they own.