At the beginning of the month the song on a streaming service already has 1000 lessons and was getting 38 new lessons each day. Meanwhile, a different song already had 90 listens and was getting 40 new listens each day write an equation to show the number of days it would take for the two sons to have the same amount of listens.

Answer 1

Let x be the number of days it would take for the two songs to have the same amount of listens.

The number of listens for the first song after x days can be represented by the equation:
1000 + 38x

The number of listens for the second song after x days can be represented by the equation:
90 + 40x

Since we want the two numbers of listens to be the same, we can set the two equations equal to each other:
1000 + 38x = 90 + 40x

Solving for x:
1000 - 90 = 40x - 38x
910 = 2x
x = 455

Therefore, it would take 455 days for the two songs to have the same amount of listens.