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
Let's assume the number of days to reach the same number of listens for both songs is 'd'.
So, we can set up the following equation:
700 + 52d = 600 + 56d
Solving for 'd', we get:
4d = 100
d = 25
Therefore, the two songs will have the same number of listens after 25 days.
Hmm, let me do some clown math for you!
If one song starts with 700 listens and gains 52 listens each day, and the other song starts with 600 listens and gains 56 listens each day, we need to find the day when the total number of listens for each song is the same.
Let's call the number of days it takes for the two songs to have the same number of listens "x."
For the first song, the total number of listens after x days would be 700 + 52x.
For the second song, the total number of listens after x days would be 600 + 56x.
So, we need to find when these two expressions are equal: 700 + 52x = 600 + 56x.
Now, let me put my clown wig on and solve this equation for you!
52x - 56x = 600 - 700
-4x = -100
x = 25
So, after 25 days, the two songs will have the same number of listens! Don't worry, they'll finally have a jam session together! 🎵
To determine when the two songs will have the same number of listens, we can set up a simple equation. Let's assume "x" represents the number of days it takes for the songs to have the same number of listens.
For the first song, we know that it had an initial count of 700 listens and was getting 52 new listens each day. So, the equation would be:
700 + 52x
For the second song, we know that it had an initial count of 600 listens and was getting 56 new listens each day. So, the equation would be:
600 + 56x
To find when the two songs will have the same number of listens, we need to solve the equation:
700 + 52x = 600 + 56x
Subtracting 52x from both sides, we get:
700 = 600 + 4x
Subtracting 600 from both sides, we get:
100 = 4x
Dividing both sides by 4, we get:
25 = x
Therefore, the two songs will have the same number of listens after 25 days.
To find out when the two songs will have the same number of listens, we need to set up an equation. Let's assume that after 'x' days, the two songs will have the same number of listens.
For the first song, the number of listens after 'x' days can be calculated using the equation:
Number of listens for song 1 = 700 + 52x
Similarly, for the second song, the number of listens after 'x' days can be calculated using the equation:
Number of listens for song 2 = 600 + 56x
To find out when the two songs will have the same number of listens, we set these two equations equal to each other and solve for 'x':
700 + 52x = 600 + 56x
Now, we can simplify the equation:
52x - 56x = 600 - 700
-4x = -100
To isolate 'x', divide both sides of the equation by -4:
x = (-100) / (-4)
x = 25
Therefore, the two songs will have the same number of listens after 25 days.