SOLUTION: The total number of workers in a factory is 120, and they earn an average wage of $80 per month.Some of them earn a wage of $60 and all of the rest earn a wage of $90.Find the numb

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Question 877485: The total number of workers in a factory is 120, and they earn an average wage of $80 per month.Some of them earn a wage of $60 and all of the rest earn a wage of $90.Find the number of workers who earn a wage of $60?
A) 32
B) 40
C) 50
D) 60

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The total number of workers in a factory is 120, and they earn an average wage of $80 per month.
Some of them earn a wage of $60 and all of the rest earn a wage of $90.Find the number of workers who earn a wage of $60?
:
Let x = no. of workers that earn $60
then
(120-x) = no. of workers that earn $90
:
%2890%28120-x%29+%2B+60x%29%2F120+=+80
multiply both sides by 80
90(120-x) + 60x = 80(120)
10800 - 90x + 60x = 9600
-90x + 60x = 9600 - 10800
-30x = -1200
x = -1200/-30
x = +40 workers earn $60
:
:
Check this
80*90 = 7200
40*60 = 2400
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total: 9600
av = 9600/120 = 80