At the beginning of the month, a song on a streaming service had 700 listens, and it was getting 52 new listens each day. Meanwhile, a different song had 600 listens, and it was getting 56 new listens each day. When will the two songs have the same number of listens??

Answer 1

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

The total number of listens for the first song after x days is 700 + 52x, and for the second song, it is 600 + 56x.

Setting both expressions equal to each other and solving for x:

700 + 52x = 600 + 56x
100 = 4x
x = 25

Therefore, it will take 25 days for the two songs to have the same number of listens.