Final answer:
To determine when Skylar and Nick will have the same number of songs in their playlist, we can set up an equation: 234 + 3t = 0 + 12t. Solving this equation, we find that Skylar and Nick will have the same number of songs after 26 weeks.
Step-by-step explanation:
To determine when Skylar and Nick will have the same number of songs in their playlist, we can set up an equation. Let's assume t represents the number of weeks. Skylar starts with 234 songs and buys 3 songs each week, so her equation is: 234 + 3t. Nick starts with 0 songs and buys 12 songs each week, so his equation is: 0 + 12t. To find the week when they will have the same number of songs, we can set the two equations equal to each other and solve for t:
234 + 3t = 0 + 12t
234 = 9t
t = 26
Therefore, Skylar and Nick will have the same number of songs in their playlist after 26 weeks.