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 have the same number of listens?

1 answer

To find out when the two songs will have the same number of listens, we can set up an equation:

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

For the first song:
Listens = 700 + 52x

For the second song:
Listens = 600 + 56x

So, we can set up the equation:

700 + 52x = 600 + 56x

Subtract 600 from both sides:

100 + 52x = 56x

Subtract 52x from both sides:

100 = 4x

Divide by 4:

x = 25

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