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?(1 point)
We need to find the number of days it will take for the two songs to have the same number of listens.
Let's call the number of days "d".
For the first song: listens = 700 + 52d
For the second song: listens = 600 + 56d
To find when the two songs have the same number of listens, we set the two equations equal to each other and solve for "d":
700 + 52d = 600 + 56d
Rearranging the equation, we get:
52d - 56d = 600 - 700
-4d = -100
Dividing both sides by -4, we get:
d = 25
Therefore, the two songs will have the same number of listens after 25 days.