At the beginning of the month, a song on a streaming service already had 1,000 listens, and was getting 38 new listens each day. Meanwhile, a different song already had 900 listens, and was getting 40 new listens each day. Write an equation to show the number of days it would take for the two songs to have the same number of listens. Use x as your variable. What’s the answer
Let y be the total number of listens for the first song after x days, and let z be the total number of listens for the second song after x days.
The equation for the first song is y = 1000 + 38x.
The equation for the second song is z = 900 + 40x.
To find when the two songs have the same number of listens, we set y = z:
1000 + 38x = 900 + 40x
100 = 2x
x = 50
Therefore, it would take 50 days for the two songs to have the same number of listens.