Tom has a collection of 30 CDs, and Nita has a collection of 18 CDs. Tom is adding 1 CD per month to his collection, while Nita is adding 5 CDs per month to her collection. After how many months will Tom and Nita have the same number of CDs?
Let's assume it takes x months for Tom and Nita to have the same number of CDs.
After x months, Tom will have added 1 * x = x CDs to his collection.
After x months, Nita will have added 5 * x = 5x CDs to her collection.
Now, we can set up an equation to represent the situation:
30 + x = 18 + 5x
30 - 18 = 5x - x
12 = 4x
x = 12/4
x = <<3=3>>3 months
Therefore, it will take Tom and Nita 3 months to have the same number of CDs. Answer: \boxed{3}.