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 emplo
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Question 926251: 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 )
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Equations:
# of persons equation:: m + w= 13
# of envlopes per person:: 40/w - 40/m = 3
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Modify to solve::
m + w = 13
40m - 40w = 3wm
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Substitute for "w" and solve for "m"::
40m - 40(13-m) = 3(13-m)m
40m - 40*13 + 40m = 39m - 3m^2
3m^2 + 41m - 40*13 = 0
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m = 8 (# of men)
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Cheers,
Stan H.
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