Question 892003: A company figured that if had 50 more employees and paid each one $2 per day less, the payroll would increase $620 / day. If it had 50 less employees and paid each $4 per day more, the payroll would decrease $640 per day. How many employees does the company now have?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! let n = original number of employees
let a = original daily wage per employee
:
A company figured that if had 50 more employees and paid each one $2 per day less, the payroll would increase $620 / day.
New payroll - original payroll = 620
(n+50)(a-2) - na = 620
Foil
na - 2n + 50a - 100 - na = 620
na - na - 2n + 50a = 620 + 100
-2n + 50a = 720
:
If it had 50 less employees and paid each $4 per day more, the payroll would decrease $640 per day.
old payroll - new payroll = 640
na - (n-50)(a+4) = 640
na - (na + 4n - 50a - 200) = 640
remove brackets, change signs
na - na - 4n + 50a + 200 = 640
-4n + 50a = 640 - 200
-4n + 50a = 440
:
Use elimination on these two equations
-2n + 50a = 720
-4n + 50a = 440
----------------Subtraction eliminates a, find n
+2n = 280
n = 280/2
n = 140 employees
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