A----------D----------C
AD = 2x + 6
DC = 4x - 7
the midpoint D splits AC into 2 equal parts....therefore, AD = DC
2x + 6 = 4x - 7
2x - 4x = -7 - 6
-2x = - 13
x = -13/-2
x = 6.5
DC = 4x - 7......4(6.5) - 7 = 19 <===
AD = 2x + 6.....2(6.5) + 6 = 19
In order to solve this, you need to put it into a fraction form.
First for every 225 employees there's 27 supervisors.
25 x
___ = ___
225 252
I got the 252 by adding 225+27(who are the new employees)
So then you need to cross multiply. And get them to equal the same number.
So 25×252= 6,300
Then Divide 6,300 by the old denominator 225.
6,300÷225= 28 new employees
Therefore there will be a total of 28 employees.
Hope this helped!