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

1 answer

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

Let's assume it will take 'd' days for the two songs to have the same number of listeners.

At the beginning of the month,
Song 1 has 700 listeners and increases by 52 listeners each day.
So, after 'd' days, Song 1 will have 700 + 52d listeners.

Song 2 has 600 listeners and increases by 56 listeners each day.
So, after 'd' days, Song 2 will have 600 + 56d listeners.

To find when the two songs have the same number of listeners, we need to equate them:
700 + 52d = 600 + 56d

By simplifying the equation, we get:
4d = 100
d = 100/4
d = 25

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