at the beginning of the month a song on a streaming service already had 1000 listens and was getting 38 new listens each day meanwhile a different song already had 900 listens and was getting 40 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

Question

at the beginning of the month a song on a streaming service already had 1000 listens and was getting 38 new listens each day meanwhile a different song already had 900 listens and was getting 40 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

Answer 1

Let's set up two equations for the total number of listens for each song after x number of days:

For the first song:
Total listens = 1000 + 38x

For the second song:
Total listens = 900 + 40x

Setting these two equal to each other to find the number of days it would take for the two songs to have the same number of listens:

1000 + 38x = 900 + 40x

Solving for x:
38x - 40x = 900 - 1000
-2x = -100
x = 50

Therefore, it would take 50 days for both songs to have the same number of listens.