Let x be 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
Nita will have 18 + 5x CDs
Setting the two expressions equal to each other, we get:
30 + x = 18 + 5x
Subtracting 18 from both sides:
12 + x = 5x
Subtracting x from both sides:
12 = 4x
Dividing by 4:
x = 3
Therefore, after 3 months, Tom and Nita will have the same number of CDs.
Answer: 3 months
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
1 answer
1 answer