At the beginning of the month, a song on streaming service already had 1000 At the beginning of the month, a song on streaming service already had 1000 listeners listens and was getting 38 new lessons each day. Meanwhile, a different song already had 900 lessons and was getting 40 new lessons each day written 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 L1 be the number of listens for the first song and L2 be the number of listens for the second song.

After x days, the number of listens for the first song is 1000 + 38x, and for the second song is 900 + 40x.

Setting these two expressions equal to each other, we have:
1000 + 38x = 900 + 40x

Subtracting 900 from both sides:
100 + 38x = 40x

Subtracting 38x from both sides:
100 = 2x

Dividing both sides by 2:
50 = x

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