Tom has a collection of 30 cds and nita has a collection of 18 cds. tom is adding 1 cd a month to his collection while nita is adding 5 cds a month to her collection. find the number of months after which they will have the same number of cds. show your work

3 months.

Step-by-step explanation:

Let x represent the number of months.

We have been given that Tom has a collection of 30 CDs and he is adding 1 CD a month to his collection.

So number of CDs in Tom's collection after x months would be: .

We are also told that Nita has a collection of 18 CDs. Nita is adding 5 CDs a month to her collection. So number of CDs in Nita's collection after x months would be: .

To solve for number of months, when both will have same number of CDs, we will equate both expressions as:

Therefore, after 3 months they will have the same number of CDs.

mx+89b(-98)nb

step-by-step explanation: