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
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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 )
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Let the number of males be "x"; the number of females be "13-x"::
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# each male receives = 40/x
# each female receives = 40/(13-x)
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Equation:
40/(13-x) - 40/x = 3
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40x - 40(13-x) = 3x(13-x)
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80x - 40*13 = 39x - 3x^2
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3x^2 + 41x - 40*13 = 0
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(x-8)(3x+65) = 0
Positive solution::
# of males = x = 8
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Cheers,
Stan H.
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