SOLUTION: American Products plans to lay off 10% of it's employees in its aerospace division and 15% of its employees in its agricultural division. If altogehter 12%of the 3000 employess in

Question 65040: American Products plans to lay off 10% of it's employees in its aerospace division and 15% of its employees in its agricultural division. If altogehter 12%of the 3000 employess in thes two divisions will be laid off, then how many employees are in each division?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!

Let x=number of employees in aerospace division
Then 3000-x=number of employees in agricultural division

Now we know that the number of employees laid off in aerospace (.10)x plus the number of employees laid off in agricultural (.15)(3000-x) must equal the total number of employees laid off (.12)(3000) so our equation to solve is:
.10x+.15(3000-x)=.12(3000) simplifying we have:
.10x-.15x+450=360 collecting like terms:
-.05x=360-450
-.05x=-90
x=1800 number of employees in aerospace div
3000-x=3000-1800=1200 in agricultural div
.1(1800)+.15(1200)=.12(3000)
180+180=360
360=360

Hope this helps. Happy holidays----ptaylor
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