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?

Answer 1

We can solve this problem by setting up an equation:

Let "d" represent the number of days.

For the first song, the total number of listens after "d" days would be 700 + 52d.
For the second song, the total number of listens after "d" days would be 600 + 56d.

We want to find when these two expressions are equal:

700 + 52d = 600 + 56d

Rearranging the equation:

52d - 56d = 600 - 700
-4d = -100

Dividing both sides by -4:

d = (-100) / (-4) = 25

Therefore, the two songs will have the same number of listens after 25 days.