SOLUTION: Lay Offs Looming. American Products plans to lay off 10% of its employees in its aerospace division and 15% of its employees in its agricultural division. If altogether 12% of th

Question 42233: Lay Offs Looming. American Products plans to lay off 10% of its employees in its aerospace division and 15% of its employees in its agricultural division. If altogether 12% of the 3000 employees in these divisions will be laid off. Then how many employees are in each division?
(A friend had this problem handwritten so I'm not sure if it came from a specific book or not, but I couldn't help her.)
12% of 3000 = 12/100 x 3000/1 = 360 (people)
10x + 15y = 360
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Well you're almost there...first the 10 and 15 need to be written as decimals...and what you need to figure in is that x + y = 3000...so that y = 3000 - x and
.10x + .15y = 360 becomes
.10x + .15(3000 - x) = 360
.10x + 450 - .15x = 360
-.05x = -90
x = 90 / .05 = 1800
thus
1800 people laid off in aerospace and
1200 laid of in agriculture
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