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At Daifu university, 40% of all students are both members of a student organization and want to reduce their tuition costs. 20% of those students who want to reduce tuition are not members of the student organization. What percentage of all Daifu students want to reduce tuition?

At Daifu university, 40% of all students are both members of a student organization and want to reduce their tuition costs. 20% of those students who want to reduce tuition are not members of the student organization. What percentage of all Daifu students want to reduce tuition?

Can Someone please explain how to solve the above Question? I could'nt getmuch help from the OE.

Below is revised version of this question.

At Daifu university, 40% of all students are members of both a chess club and a swim team. If 20% of members of the swim team 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 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 a # of members of the swim team then 0.2S is # of members of ONLY the swim teem:

40+0.2S=S --> S=50.

Answer: D.

Or another way: since "20% of members of the swim team are not members of the chess club" then the rest 80% of members of the swim team (S) ARE members of the chess club, so members of both clubs: 0.8*S=40 --> S=50.

Anyway, posting the latest question: At Daifu university, 40% of all students are members of both a chess club and a swim team. If 20% of members of the swim team are not members of the chess club, what percentage of all Daifu students are members of the swim team?

The solution provided assumes that the students are either member of chess club or swim team or both. But no where in the question this has been mentioned. I found it difficult to solve, since I didn't know how many students are member of neither of these clubs
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True , for 2 sets I think Venn is the best way to go. For more than 2 grid makes things relatively simpler.

Is there a question on the GMATClub tests that uses 3 or more sets so I can practice the larger grid? So far I've always used Venn diagrams for solving these kinds of problems.

At Daifu university, 40% of all students are members of both a chess club and a swim team. If 20% of members of the swim team are not members of the chess club, what percentage of all Daifu students are members of the swim team?

20 %

30 %

40 %

50 %

60 %
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FEB 15 2010 !!

well I would not disturb you after the D-day ..so please !!!

At Daifu university, 40% of all students are members of both a chess club and a swim team. If 20% of members of the swim team are not members of the chess club, what percentage of all Daifu students are members of the swim team?

20 %

30 %

40 %

50 %

60 %

Hi Snowingreen,

The Answer here also is same D as this is a similar question as above. Just replace "Members of student organization" with "members of chess club" and "students who want to reduce tuition fees" with "Members of swim club". Then refer Durgesh79's explanation above.
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Anyway, posting the latest question: At Daifu university, 40% of all students are members of both a chess club and a swim team. If 20% of members of the swim team are not members of the chess club, what percentage of all Daifu students are members of the swim team?

The solution provided assumes that the students are either member of chess club or swim team or both. But no where in the question this has been mentioned. I found it difficult to solve, since I didn't know how many students are member of neither of these clubs

Followed the grid method. Set up the grid correctly but used two variables instead of one. That led to taking more time. Good question with percentages on grid.

Concluded with D but since messed up the variables took abt a min more.
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