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# At Daifu university, 40% of all students are both members of

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Intern
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At Daifu university, 40% of all students are both members of [#permalink]  15 Jun 2008, 17:57
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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?

20%
30%
40%
50%
60%

how to get the answer for 50%, i really don't know!!!!

Manager
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Re: m01#15 [#permalink]  17 Jun 2008, 02:01
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Let totl students be 100
And let x be total number of students who want reduction in tution fees
Now, According to the stem 20% of students who want to reduce tution are not members which implies 80% of the students are members as well as want tution reduction which is given as 40%.
Thus 80% of X = 40 thus X=50
Director
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Re: m01#15 [#permalink]  15 Jun 2008, 18:12
yzhao26 wrote:
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?

20%
30%
40%
50%
60%

how to get the answer for 50%, i really don't know!!!!

let x be the total number of students who want to reduce tutuion fees & 100 be total number of students at daifu univ

then
--------------
--------| Fee Reduction
--------
St.Org | 40
No. st. Org 20/100 X
-----------------
--------| X

40 + 1/5*x = x

x= 50
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Re: m01#15 [#permalink]  15 Jun 2008, 18:15
The wording of the question is really confusing. My solution is based on your given answer.

draw a 2-circle venn diagram. 40% is the overlapping region.

the question stated that 20% of "those who want" to reduce the tuition is not member of the student organization. That means the "40% overlapping population" is 80% of the total students who want to reduce tuition, and thus 20% of those who want to reduce tuition is 10% of the total population. If you fill in the venn diagram, the missing population is 50%.

This is a poorly worded question that probally difficult because people don't understand what it says.
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Re: m01#15 [#permalink]  16 Jun 2008, 17:31
thanks

I got it.
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Re: m01#15 [#permalink]  17 Jun 2008, 01:38
Still it is not clear!

Can some one elaborate on this please? Thanks!

Regards,
Mahesh
_________________

Regards,
Mahesh Vollala

Re: m01#15   [#permalink] 17 Jun 2008, 01:38
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