at the beginning of the month a song on a streaming service already had 700 listens and was getting 52 new listens each day meanwhile a different song already had 600 listens and was getting 56 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
Let x be the number of days it would take for the two songs to have the same number of listens.
The total number of listens for the first song after x days is:
700 + 52x
The total number of listens for the second song after x days is:
600 + 56x
Setting the two equations equal to each other:
700 + 52x = 600 + 56x
Rearranging the equation:
52x - 56x = 600 - 700
-4x = -100
x = 25
It would take 25 days for the two songs to have the same number of listens.