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27%
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At Daifu University, 40% of all students are members of both a chess club and a swim team. If 20% of swim team members are not members of the chess club, what percentage of all Daifu students are members of the swim team?
A) 20%
B) 30%
C) 40%
D) 50%
E) 60%
A) 20%
B) 30%
C) 40%
D) 50%
E) 60%
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15 Oct 2012, 16:51
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At Daifu University, 40% of all students are members of both a chess club and a swim team. If 20% of swim team members are not members of the chess club, what percentage of all Daifu students are members of the swim team?
A. 20%
B. 30%
C. 40%
D. 50%
E. 60%
Assume there are a total of 100 students. 40 students are members of both clubs. We are told that "20% of members of the swim team are not members of the chess club." Thus, if S is the number of members in the swim team, then 0.2S is the number of students who are members of the swim team only:
\(40 + 0.2S = S\), which implies \(S = 50\).
Alternatively, since "20% of members of the swim team are not members of the chess club," the remaining 80% of swim team members are part of the chess club. Therefore, the number of students in both clubs is \(0.8 * S = 40\), which also results in \(S = 50\).
Answer: D
A. 20%
B. 30%
C. 40%
D. 50%
E. 60%
Assume there are a total of 100 students. 40 students are members of both clubs. We are told that "20% of members of the swim team are not members of the chess club." Thus, if S is the number of members in the swim team, then 0.2S is the number of students who are members of the swim team only:
\(40 + 0.2S = S\), which implies \(S = 50\).
Alternatively, since "20% of members of the swim team are not members of the chess club," the remaining 80% of swim team members are part of the chess club. Therefore, the number of students in both clubs is \(0.8 * S = 40\), which also results in \(S = 50\).
Answer: D
16 Oct 2012, 22:29
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1.Out of total student 40% are member of chess and swim club.
2. 20% of swim club member are not chess club member= 80% of swim club member are also chess club member.
From 1and 2, 80% of swim club = 40% of total student.
So, 100% of swim club= 40/80*100= 50%.
2. 20% of swim club member are not chess club member= 80% of swim club member are also chess club member.
From 1and 2, 80% of swim club = 40% of total student.
So, 100% of swim club= 40/80*100= 50%.
