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? Write and solve a system of equations.
(1 point)
1 month
3 months
2 months
33 months
Let's represent the number of months as 'm'.
After 'm' months, Tom will have 30 + m CDs.
After 'm' months, Nita will have 18 + 5m CDs.
We need to find the value of 'm' for which Tom and Nita have the same number of CDs.
Setting up the equation:
30 + m = 18 + 5m
Simplifying the equation:
12 = 4m
Solving for 'm':
m = 3
Therefore, after 3 months, Tom and Nita will have the same number of CDs.
So the correct answer is 3 months.