It takes 6 days for both of them to have same number of followers
Solution:
Let "x" be the number of days
Celebrity A has 400 followers on social media and is gaining 75 followers each day
We can frame a equation as:
Celebrity A : 400 + 75(number of days)
Celebrity A : 400 + 75x --------- eqn 1
Celebrity B has 1,000 followers on social media, but is losing 25 followers a day
We can frame a equation as:
Celebrity B : 1000 - 25(number of days)
Here we use negative sign to denote losing of followers
Celebrity B : 1000 - 25x --------- eqn 2
For both of them to have same number of followers, eqn 1 must be equal to eqn 2
[tex]400 + 75x = 1000 - 25x\\\\\text{Solve the above equation for x}\\\\75x + 25x = 1000 - 400\\\\\text{Combine the like terms }\\\\100x = 600\\\\x = 6[/tex]
Thus it takes 6 days for both of them to have same number of followers
