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34%
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What fraction of this year's graduating students at a certain college are males?
(1) Of this year's graduating students, 33 percent of the males and 20 percent of the females transfered from another college.
(2) Of this year's graduating students, 25 percent transfered from another college.
(1) Of this year's graduating students, 33 percent of the males and 20 percent of the females transfered from another college.
(2) Of this year's graduating students, 25 percent transfered from another college.
22 Jul 2010, 06:51
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What fraction of this year's graduating students at a certain college are males?
(1) Of this year's graduating students, 33 percent of the males and 20 percent of the females transfered from another college.
(2) Of this year's graduating students, 25 percent transfered from another college.
Question: \(\frac{m}{m+f}=?\)
Obviously taken separately each statement is not sufficient.
(1)+(2) # of transferred students from (1) equals to \(033m+0.2f\) and from (2) it equals to \(0.25(m+f)\) --> \(0.33m+0.2f=0.25m+0.25f\) --> \(\frac{m}{f}=\frac{5}{8}\) --> \(\frac{m}{m+f}=\frac{5}{13}\). Sufficient.
Answer: C.
(1) Of this year's graduating students, 33 percent of the males and 20 percent of the females transfered from another college.
(2) Of this year's graduating students, 25 percent transfered from another college.
Question: \(\frac{m}{m+f}=?\)
Obviously taken separately each statement is not sufficient.
(1)+(2) # of transferred students from (1) equals to \(033m+0.2f\) and from (2) it equals to \(0.25(m+f)\) --> \(0.33m+0.2f=0.25m+0.25f\) --> \(\frac{m}{f}=\frac{5}{8}\) --> \(\frac{m}{m+f}=\frac{5}{13}\). Sufficient.
Answer: C.
20 Oct 2016, 16:54
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sunland
What fraction of this year's graduating students at a certain college are males?
(1) Of this year's graduating students, 33 percent of the males and 20 percent of the females transfered from another college.
(2) Of this year's graduating students, 25 percent transfered from another college.
(1) Of this year's graduating students, 33 percent of the males and 20 percent of the females transfered from another college.
(2) Of this year's graduating students, 25 percent transfered from another college.
We need to determine what fraction of this year's graduating students at a certain college are males. Since we do not know the number of male and female graduating students in the college, we can let m = the number of male graduating students in the college and f = the number of female graduating students in the college. We need to determine the value of m/(m + f).
Statement One Alone:
Of this year's graduating students, 33 percent of the males and 20 percent of the females transferred from another college.
Using the information from statement one, we know that 0.33m = the number of male graduating students who transferred from another college and 0.20f = the number of female graduating students who transferred from another college. However, we cannot determine the value of m/(m + f). Statement one alone is not sufficient. We can eliminate answer choices A and D.
Statement Two Alone:
Of this year's graduating students, 25 percent transferred from another college.
Using the information from statement two we know that 0.25(m + f) = the number of graduating students who transferred from another college. However, we still cannot determine m/(m + f). Statement two alone is not sufficient. We can eliminate answer choice B.
Statements One and Two Together:
From statements one and two, we know that 0.33m + 0.20f must equal 0.25(m + f). That is,
0.33m + 0.20f = 0.25(m + f)
0.33m + 0.20f = 0.25m + 0.25f
0.08m = 0.05f
8m = 5f
f = 8m/5
Since f = 8m/5, we can substitute 8m/5 in the expression m/(m + f) and we have:
m/(m + 8m/5)
1/(1 + 8/5)
1/(13/5) = 5/13
Answer: C
