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?(1 point)

Question

The songs will have the same number of listens after
days.

Answer 1

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

For the first song:
700 + 52x

For the second song:
600 + 56x

Setting the two expressions equal to each other:
700 + 52x = 600 + 56x

Rearranging:
100 = 4x
x = 25

Therefore, the two songs will have the same number of listens after 25 days.