Working at a company with averages

Let's write up what we know:

• There are $2x + 3$ people.
• You earn $2x^{2} - 4$ .
• The average is $x-1$ .

We can first by finding what the total salary of all employers together is.

We do this by multiplying the average by the number of people.

So $(2x+3)(x-1) = 2x^{2} - 2x + 3x - 3 <=> 2x^{2}+x-3$

Now we want to find the average without you, so we subtract your earnings from the total.

That would be $(2x^{2}+x-3) - (2x^{2} - 4)$

If we simplify this, we will get $x+1$ .

And to find the average, we simply divide by the total number of people.

Important : Remember that you left the company, so you don't count as an employee anymore. So the total amount of people is now $(2x+3) - 1 = 2x+2$

Now we just divide the total (without you) by the amount of people (without you).

That is equal to: $\frac{x+1}{2x+2}$

This can be reduced to $\frac{1}{2}$

And that's why the average earning without you would be 0.5 (thousand).