SOLUTION: I can't wrap my brain around this word problem. Layoffs. 10% of the employees in the aerospace division will be laid off and 15% of the employees in the agriculture division will

Question 164821: I can't wrap my brain around this word problem.
Layoffs. 10% of the employees in the aerospace division will be laid off and 15% of the employees in the agriculture division will be laid off. Altogether 12% of 3000 employees in these two divisions will be laid off. How many employees are in each division?
__________________
12% of 3000= 360
10%=10/100=.10
15%=15/100=.15
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
I can't wrap my brain around this word problem.
Layoffs. 10% of the employees in the aerospace division will be laid off and 15% of the employees in the agriculture division will be laid off. Altogether 12% of 3000 employees in these two divisions will be laid off. How many employees are in each division?
----------------
Quantity Equation: s + a = 3000
Percentage Equatio: 0.10s + 0.15a = 0.12*3000
---------------------------------
Rearrange the equations for elimination:
10s + 10a = 30000
10s + 15a = 12*3000
----------------
Subtract the 1st from the 2nd to get:
5a = 6000
a = 1200 (# of agriculture division layoffs)
s = 1800 (# of aerospace division layoffs)
======================
Cheers,
Stan H.

RELATED QUESTIONS
Solve each problem. Layoffs looming. American Products plans to lay off 10% of its... (answered by checkley71)

Layoffs looming. American Products plans to lay off 10% of its employees in its aerospace (answered by checkley71)

Layoffs looming. American Products plans to layoff 10% of its employees in its aerospace (answered by checkley77)

American Products plans to lay off 10% of its employees in its aerospace division and 15% (answered by dolly)

Help! American Products plans to lay off 10% of it's employees in its aerospace... (answered by justin_lohok)

if a company plans to lay off 10% of its employees in its aerospace division and 15% of... (answered by jim_thompson5910)

Lay Offs Looming. American Products plans to lay off 10% of its employees in its... (answered by fractalier)

Company x plans layoffs in recession. 10% of its employees in its A division and 15% of... (answered by rfer)

Help! American Products plans to lay off 10% of it's employees in its aerospace... (answered by stanbon)