at the beginning of the month, a song on 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.
Let y be the number of listens for the first song and z be the number of listens for the second song.
y = 1000 + 38x
z = 900 + 40x
To find the number of days x when the two songs have the same number of listens, we set y equal to z:
1000 + 38x = 900 + 40x
40x - 38x = 1000 - 900
2x = 100
x = 50
It would take 50 days for the two songs to have the same number of listens.