SOLUTION: DataNet plans to lay off 10% of its employees in its programming division and 15% of its employees in its IT division. If altogether 12% of the 3000 employees in these two division

Question 96866: DataNet plans to lay off 10% of its employees in its programming division and 15% of its employees in its IT division. If altogether 12% of the 3000 employees in these two divisions will be laid off, then how many employees are in each division?
So I get total laid off employees is 360 (12%*3000), but can't seem to figure out the number of employees in each division. Have tried several possibilites, none of which are correct. Would love help with the correct formulation of the equation, which I can probably solve.
Thank you.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
DataNet plans to lay off 10% of its employees in its programming division and 15% of its employees in its IT division. If altogether 12% of the 3000 employees in these two divisions will be laid off, then how many employees are in each division?
So I get total laid off employees is 360 (12%*3000), but can't seem to figure out the number of employees in each division. Have tried several possibilites, none of which are correct. Would love help with the correct formulation of the equation, which I can probably solve.
Thank you.
-----------
Let "P" be the number in Programming and "T" be the number in IT division.
EQUATIONS:
P + T = 3000
0.10P + 0.15T = 360
-------------------------
P = 3000-T
Substitute to solve for T:
0.10(3000-T) + 0.15T = 360
300 - 0.10T + 0.15T = 360
0.05T = 60
T = 1200 (# in the IT division)
---------
Substitute into P = 3000-T to solve for "P"
P = 3000-1200 = 1800 (# in the Programming division)
===============
Cheers,
Stan H.

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