How do I set this up and solve it?

Tom has a collection of 30 CDs and Nita has a collection of 15 CDs. Tom is adding 1 CD a month to his collection while Nita is adding 4 CDs a month to her collection. Find the number of months after which they will have the same number of CDs.

Umm that is not a choice

T= 30 CD’s(+1/monthly)

N=15 CD’s(+4/monthly)
30,31,32,33,34,35
15,19,23,27,31,35
It took them 6months to get even.

To solve this problem, let's start by setting up a system of equations to represent the number of CDs each person has over time.

Let's say "x" represents the number of months that have passed.

For Tom:
Number of CDs = 30 + 1*x

For Nita:
Number of CDs = 15 + 4*x

Now we need to find the number of months after which they will have the same number of CDs. To do that, we set the number of CDs for Tom equal to the number of CDs for Nita:

30 + 1*x = 15 + 4*x

Now, let's solve for "x" by isolating the variable on one side of the equation.

Subtract 15 from both sides:
30 - 15 + 1*x = 15 - 15 + 4*x
15 + 1*x = 4*x

Subtract x from both sides:
15 + 1*x - 1*x = 4*x - 1*x
15 = 3*x

Divide both sides by 3:
15/3 = 3*x/3
5 = x

Hence, after 5 months, Tom and Nita will have the same number of CDs.

Tom 30 + n

Nita 15 + 4 n

30 + n = 15 + 4 n

15 = 3 n

n = 5