Answer:
Gregg employed 12 cleaners and 6 cleaning supervisors.
Step-by-step explanation:
Set up a system of equations where c is the number of cleaners and s is the number of cleaning supervisors:
c + s = 18
14c + 19s = 282
Solve by substitution by solving for c in the first equation:
c + s = 18
c = 18 - s
Then, plug in 18 - s as c into the second equation:
14c + 19s = 282
14(18 - s) + 19s = 282
Solve for s:
252 - 14s + 19s = 282
252 + 5s = 282
5s = 30
s = 6
Then, plug in 6 as s into the first equation:
c + s = 18
c + 6 = 18
c = 12
So, Gregg employed 12 cleaners and 6 cleaning supervisors.