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.

Question

(1 point)
Responses

a. 1 month

b. 3 months

c. 2 months

d. 33 months

Answer 1

Let x be the number of months.

Tom's collection: 30 + x
Nita's collection: 18 + 5x

Setting them 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. (b)