Question

5. At the beginning of the month, a song on a streaming service had 500 listens, and it was getting 50 new listens each day. Meanwhile, a different song had 660 listens, and it was getting 42 new listens each day. When will the two songs have the same number of listens? Write an equation and use x.

Answer 1

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

Song 1: 500 + 50x
Song 2: 660 + 42x

Setting the two equations equal to each other:

500 + 50x = 660 + 42x

Simplify the equation:

50x - 42x = 660 - 500
8x = 160
x = 20

Therefore, the two songs will have the same number of listens after 20 days.