Question

At the beginning of the month, a song on a streaming service had 700 listens, and it was getting 52 new listens each day. Meanwhile, a different song had 600 listens, and it was getting 56 new listens each day. When will the two songs have the same number of listens? The songs will have the same number of listens after ? days.

Answer 1

Let t be days. Solve 700 + 52t = 600 + 56t.
100 = 4t, so t = 25.

They will have the same number of listens after 25 days (both will have 2000 listens).