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)
The songs will have the same number of listens after x days.
To find the number of days it will take for the two songs to have the same number of listens, we need to set up an equation.
Let x be the number of days it will take for the two songs to have the same number of listens.
The total number of listens for the first song after x days is 700 + 52x.
The total number of listens for the second song after x days is 600 + 56x.
Setting these two expressions equal to each other, we get:
700 + 52x = 600 + 56x
Subtracting 600 from both sides:
100 + 52x = 56x
Subtracting 52x from both sides:
100 = 4x
Dividing by 4:
x = 25
Therefore, it will take 25 days for the two songs to have the same number of listens.