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. Use x as your variable.

Answer 1

Let x be the number of days. The equation is

1000 + 38x = 900 + 40x.

(If you solve it: 100 = 2x, so x = 50 days.)