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)

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

1 answer

To find out how many days it will take for the two songs to have the same number of listens, we need to set up the following equation:

700 + 52x = 600 + 56x

Where x represents the number of days.

To solve for x, we can subtract 600 from both sides of the equation:

700 + 52x - 600 = 600 + 56x - 600

100 + 52x = 56x

Next, we can subtract 52x from both sides of the equation:

100 + 52x - 52x = 56x - 52x

100 = 4x

Now, we can divide both sides of the equation by 4 to solve for x:

100/4 = 4x/4

25 = x

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