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
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.
To find out when the two songs will have the same number of listeners, we can set up an equation:
Let x be the number of days.
For the first song: number of listeners = 700 + 52x
For the second song: number of listeners = 600 + 56x
Setting these two equations equal to each other, we can solve for x:
700 + 52x = 600 + 56x
Now, let's solve for x:
Subtract 600 from both sides:
700 + 52x - 600 = 600 + 56x - 600
100 + 52x = 56x
Subtract 52x from both sides:
100 + 52x - 52x = 56x - 52x
100 = 4x
Divide both sides by 4 to isolate x:
100/4 = 4x/4
25 = x
Therefore, the two songs will have the same number of listeners after 25 days.
To determine when the two songs will have the same number of listeners, we need to set up and solve an equation.
Let's assume "x" represents the number of days it takes for the two songs to have the same number of listeners.
For the first song, the number of listeners after "x" days can be calculated using the equation:
Number of listeners for the first song = 700 + 52x
For the second song, the number of listeners after "x" days can be calculated using the equation:
Number of listeners for the second song = 600 + 56x
To find when the two songs will have the same number of listeners, we need to set these two equations equal to each other:
700 + 52x = 600 + 56x
Now, let's solve for "x" by isolating the variable on one side:
52x - 56x = 600 - 700
-4x = -100
Dividing both sides of the equation by -4, we get:
x = (-100) / (-4)
x = 25
Therefore, the two songs will have the same number of listeners after 25 days.