SOLUTION: The total number of lawyers is 30. The average height of the women is 164 cm and the average height of men is 174 cm. What is the number of women, if the total average of height

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Question 549505: The total number of lawyers is 30. The average height of the women is 164 cm and the average height of men is 174 cm.
What is the number of women, if the total average of height for both men and women is 168 cm.

Answer by stanbon(75887) About Me  (Show Source):
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The total number of lawyers is 30.
The average height of the women is 164 cm and
the average height of men is 174 cm.
What is the number of women, if the total average of height for both men and women is 168 cm.
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Total length of men and women: 30*168 = 5040
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Equations:
Quantity: m + w = 30
Length::174m+164w = 5040
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Multiply thru 1st by 174 to get:
174m + 174w = 174*30
174m + 164w = 5040
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Subtract and solve for "w":
10w = 180
w = 18 (# of women)
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Cheers,
Stan H.
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