At the beginning of the month the song on a streaming service already had 1000 listeners and was getting 38 new listeners each day meanwhile, a different song already had 900 listeners and was getting 40 new listeners each day right in an equation to show the number of days it would take for the two songs to have the same number of lessons. Use X as your variable.
Let's assume the number of days it would take for the two songs to have the same number of listeners is represented by the variable X.
For the first song, the number of listeners at the beginning of the month is 1000, and it is getting 38 new listeners each day. Therefore, the total number of listeners for the first song after X days can be represented by: 1000 + 38X.
For the second song, the number of listeners at the beginning of the month is 900, and it is getting 40 new listeners each day. Therefore, the total number of listeners for the second song after X days can be represented by: 900 + 40X.
Thus, the equation to show the number of days it would take for the two songs to have the same number of listeners is:
1000 + 38X = 900 + 40X
Let's represent the number of listeners for the first song as L1 and the number of listeners for the second song as L2. We'll also represent the number of days as X.
Given:
L1 = 1000 + 38X
L2 = 900 + 40X
To find the number of days (X) it would take for the two songs to have the same number of listeners, we need to set L1 equal to L2 and solve for X.
1000 + 38X = 900 + 40X
To isolate X, we can subtract 900 from both sides:
100 + 38X = 40X
Next, we can subtract 38X from both sides:
100 = 2X
To solve for X, we divide both sides by 2:
50 = X
Therefore, it would take 50 days for the two songs to have the same number of listeners.
To find the number of days it would take for the two songs to have the same number of listeners, we need to set up an equation where the number of listeners for each song is equal.
Let's start by setting up the equation for the first song:
Number of listeners for the first song = 1000 + 38X, where X is the number of days.
Now, let's set up the equation for the second song:
Number of listeners for the second song = 900 + 40X, where X is the number of days.
Since we want to find the number of days it would take for the two songs to have the same number of listeners, we can set these equations equal to each other:
1000 + 38X = 900 + 40X
To solve for X, we need to isolate the variable on one side of the equation. Let's subtract 38X and 900 from both sides:
1000 - 900 = 40X - 38X
100 = 2X
Divide both sides by 2 to solve for X:
100/2 = X
50 = X
So, it would take 50 days for the two songs to have the same number of listeners.