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Question 1049281: Suppose a certain religious university has a ratio of approximately 80 males to 125 females enrolled as students. If the current enrollment at the university is 15,000 and every male on campus asks a female student to a dance, how many women will be without dates to the dance?
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Suppose a certain religious university has a ratio of approximately 80 males to 125 females enrolled as students. If the current enrollment at the university is 15,000 and every male on campus asks a female student to a dance, how many women will be without dates to the dance?
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m + w = 15000
m/w = 80/125
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m = 80w/125
m = 16w/25
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Substitute for "m" and solve for "w"::
16w/25 + w = 15000
16w + 25w = 25*15000
41w = 25*15000
w = 9146.34 (# of women)
m = 15000 - 9146.31 = 5853.66 (# of men)
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# of women with no dates:: 9146.34-5853.66 = 3292.68
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Note:: All these numbers should be rounded off to whole numbers.
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Cheers,
Stan H.
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