SOLUTION: If a company hired 50 employees and reduced all pay by $2 a day, their payroll increases by $260. If they lose 50 employees and add $4 a day to each employee, their payroll decr

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Question 1022755: If a company hired 50 employees and reduced all pay by $2 a day, their payroll increases by $260. If they lose 50 employees and add $4 a day to each employee, their payroll decreases by $340. How many employees do they have?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = number of employees they have
Let +p+ = the original pay for each employee
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(1) +%28+n+%2B+50+%29%2A%28+p+-+2+%29+=+n%2Ap+%2B+260+
(2) +%28+n+-+50+%29%2A%28+p+%2B+4+%29+=+n%2Ap+-+340+
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(1) +n%2Ap+%2B+50p+-+2n+-+100+=+n%2Ap+%2B+260+
(1) +50p+-+2n+=+360+
and
(2) +n%2Ap+-+50p+%2B+4n+-+200+=+n%2Ap+-+340+
(2) +50p+-+4n+=+140+
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Subtract (2) from (1)
(1) +50p+-+2n+=+360+
(2) +-50p+%2B+4n+=+-140+
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+2n+=+220+
+n+=+110+
They have 110 employees
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check:
(2) +50p+-+4n+=+140+
(2) +50p+-+4%2A110+=+140+
(2) +50p+=+580+
(2) +p+=+11.6+
The original pay rate was $11.60/hr
(1) +%28+n+%2B+50+%29%2A%28+p+-+2+%29+=+n%2Ap+%2B+260+
(1) +%28+110+%2B+50+%29%2A%28+11.6+-+2+%29+=+110%2A11.6+%2B+260+
(1) +160%2A9.6+=+1276+%2B+260+
(1) +1536+=+1536+
OK