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. User as your variable. (1 point)

Question

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. User as your variable. (1 point)

Answer 1

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

For the first song, the equation would be:
Total Listens for Song 1 = 1000 + 38x

For the second song, the equation would be:
Total Listens for Song 2 = 900 + 40x

Setting the two equations equal to each other:
1000 + 38x = 900 + 40x