At the beginning of the month a song on a streaming service already had 1,000 and was getting 38 news each day meanwhile that a different song already had 900 listenings and was getting 40 new listings each day write an equation to show the number of days it would take for the two songs to have the same number of listings use x as your variable

Question

At the beginning of the month a song on a streaming service already had 1,000 and was getting 38 news each day meanwhile that a different song already had 900 listenings and was getting 40 new listings each day write an equation to show the number of days it would take for the two songs to have the same number of listings use x as your variable

Answer 1

Let y represent the total number of new listings after x days for the first song, and let z represent the total number of new listings after x days for the second song.

For the first song, the equation would be:
y = 38x + 1000

For the second song, the equation would be:
z = 40x + 900

To find when the two songs would have the same number of listings, set y equal to z:
38x + 1000 = 40x + 900

Subtract 38x from both sides:
1000 = 2x + 900

Subtract 900 from both sides:
100 = 2x

Divide by 2:
x = 50

Therefore, it would take 50 days for the two songs to have the same number of listings.