SOLUTION: A supply officer distributes 80 business envelops among 13 employees, giving half the number to the female employees and the other half to the male employees. Each female employe
Algebra ->
Customizable Word Problem Solvers
-> Finance
-> SOLUTION: A supply officer distributes 80 business envelops among 13 employees, giving half the number to the female employees and the other half to the male employees. Each female employe
Log On
Question 923933: A supply officer distributes 80 business envelops among 13 employees, giving half the number to the female employees and the other half to the male employees. Each female employee received 3 more than each male. How many male employees are there? ( answer is 8 - show your solution ) Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A supply officer distributes 80 business envelops among 13 employees, giving half the number to the female employees and the other half to the male employees. Each female employee received 3 more than each male. How many male employees are there? ( answer is 8 - show your solution )
------------------------
Let the number of males be "x"; the number of females be "13-x"::
------
# each male receives = 40/x
# each female receives = 40/(13-x)
------
Equation:
40/(13-x) - 40/x = 3
------------------------
40x - 40(13-x) = 3x(13-x)
------
80x - 40*13 = 39x - 3x^2
-------
3x^2 + 41x - 40*13 = 0
----
(x-8)(3x+65) = 0
Positive solution::
# of males = x = 8
--------------------------
Cheers,
Stan H.
------------------
(