Question

how many post will it take for them to have the same number of followers how many followers will they have

Answer 1

It will take 11 posts for the number of followers to be equal

They will have 255 folllowers each on the 11th post

Here, we want to get the number of posts that would make them both have the same number of followers

For the first person, her number of followers after n post will be;

`200\text{ + 5n}`

For the second person, her number of follwers after n post will be;

`145\text{ + 10n}`

Since we have that, after n posts, the number of followers will be equal; we simply go on to equate the two

Thus, we have this as;

`\begin{gathered} 200\text{ + 5n = 145 + 10n} \\ \\ 200-145\text{ = 10n-5n} \\ \\ 5n\text{ = 55} \\ \\ n\text{ = }(55)/(5) \\ \\ n\text{ = 11} \end{gathered}`

So after 11 posts, the number of follwers they each have will be the same

Now, we want to calculate the number of followes they have at the 11th post

We just need to substitute for n in any of the equations

Thus, we have that, the number of followers is';

`\begin{gathered} 200+5(11) \\ \\ =\text{ 200 + 55 = 255 followers} \end{gathered}`