At the beginning of the month this song on a streaming service had 700 lessons and I was getting 52 new lessons each day. Meanwhile, a different song has 600 lessons and I was getting 56 new lessons each day. When will the two songs have the same number of listens.
To find out when the two songs will have the same number of listens, we can set up an equation to solve for the number of days it will take for the number of listens to be equal.
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:
700 + 52x = 600 + 56x
Rearrange the equation to solve for x:
52x - 56x = 600 - 700
-4x = -100
x = 25
Therefore, it will take 25 days for the two songs to have the same number of listens.