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)
Responses
1 month
1 month
3 months
3 months
2 months
2 months
33 months
Let x represent the number of months it takes for Tom and Nita to have the same number of CDs.
After x months, Tom will have 30 + x CDs and Nita will have 18 + 5x CDs.
Setting the two expressions equal to each other, we have:
30 + x = 18 + 5x
Subtracting 18 from both sides, we have:
12 + x = 5x
Subtracting x from both sides, we have:
12 = 4x
Dividing both sides by 4, we have:
x = 3
Therefore, it will take Tom and Nita 3 months to have the same number of CDs. Answer: 3 months.