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 (blank)
days.
Let's assume that after "x" days, the two songs will have the same number of listens.
For the first song, the total number of listens after "x" days can be calculated using the formula:
Total Listens = Initial Listens + (Number of New Listens per day * Number of days)
For the first song, the equation would be:
700 + 52x
For the second song, the total number of listens after "x" days can be calculated using the same formula:
Total Listens = Initial Listens + (Number of New Listens per day * Number of days)
For the second song, the equation would be:
600 + 56x
To find the number of days when the two songs have the same number of listens, we set the two equations equal to each other and solve for "x":
700 + 52x = 600 + 56x
Subtracting 52x and 600 from both sides, we get:
700 - 600 = 56x - 52x
100 = 4x
Dividing both sides by 4, we get:
x = 25
Therefore, the two songs will have the same number of listens after 25 days.