Question

Question

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
33 months
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Answer 1

[AI-generated answer — Bot GPT 3.5]

Let x be the number of months it takes for Tom and Nita to have the same number of CDs.

Tom's total number of CDs after x months = 30 + x
Nita's total number of CDs after x months = 18 + 5x

Setting the two expressions equal to each other:
30 + x = 18 + 5x
12 = 4x
x = 3

After 3 months, Tom and Nita will have the same number of CDs.