At the beginning of the month, a song on a streaming service already had 1,000 listens, and was getting 38 new listens each day. Meanwhile, a different song already had 900 listens, and was getting 40 new listens each day. Write an equation to show the number of days it would take for the two songs to have the same number of listens. Use x as your variable. (1 point)

Answer 1

Number of listens for the first song = 1,000 + 38x
Number of listens for the second song = 900 + 40x

To find when the two songs have the same number of listens, we can set the two equations equal to each other:

1,000 + 38x = 900 + 40x

Answer 2

So what’s the answer

Answer 3

To solve the equation 1,000 + 38x = 900 + 40x, we can subtract 900 from both sides to isolate the x term:

1,000 + 38x - 900 = 900 + 40x - 900
100 + 38x = 40x

Next, we can subtract 38x from both sides to get the x term on one side:

100 + 38x - 38x = 40x - 38x
100 = 2x

Finally, we can divide both sides by 2 to solve for x:

100/2 = 2x/2
50 = x

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