Question

Gregg manages a small cleaning business. He has 18 employees. The cleaners get paid ​$14.00per hour. The cleaning supervisors get paid ​$19.00 per hour. His budget has set aside a payroll expense of ​$282.00 per hour if all of his employees are working. How many cleaners and how many supervisors does he​ employ?
Gregg employed
nothing cleaners and
nothing supervisors.

Answer 1

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.