Guests at a recent congressional party contributed $15,000 to charity. Each guest who was neither a male nor a democrat contributed exactly $1,000. No amount was contributed by any guest who was a male, a democrat, or both. If half of the guests were democrats, how many guests attended the party?
1. The democrats attended the party at a rate of 2 males to every 3 females, half the rate for republicans.
2. 30% of the guests were democrat females.
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Democrats and Republicans
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1000xFR = 15000 ==> FR = 15
To find: MD+MR+FD+FR
Statement 1:
MD : FD = 2 : 3
MR : FR = 4 : 3
FR = 15 ==> MR = 20
MR + FR = 35 ==> G/2 = 35 = 70
SUFFICIENT
Statement 2:
30% of G = FD
INSUFFICIENT
Answer [spoiler]{A}[/spoiler]?
To find: MD+MR+FD+FR
Statement 1:
MD : FD = 2 : 3
MR : FR = 4 : 3
FR = 15 ==> MR = 20
MR + FR = 35 ==> G/2 = 35 = 70
SUFFICIENT
Statement 2:
30% of G = FD
INSUFFICIENT
Answer [spoiler]{A}[/spoiler]?
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Brent@GMATPrepNow
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I thought I'd point out that Rahul's approach is known as the Double Matrix Method. This technique can be used for most questions featuring a population in which each member has two characteristics associated with it.
Here, we have a population of guests, and the two characteristics are:
- Democrat or not Democrat
- Female or male
To learn more about this important technique, watch our free video: https://www.gmatprepnow.com/module/gmat- ... ems?id=919
Then try these additional practice questions that can be solved using the Double Matrix Method:
- https://www.beatthegmat.com/mba/2011/05/ ... question-1
- https://www.beatthegmat.com/mba/2011/05/ ... question-2
- https://www.beatthegmat.com/mba/2011/05/ ... question-3
- https://www.beatthegmat.com/ds-quest-t187706.html
- https://www.beatthegmat.com/overlapping- ... 83320.html
- https://www.beatthegmat.com/finance-majo ... 67425.html
- https://www.beatthegmat.com/ds-french-ja ... 22297.html
- https://www.beatthegmat.com/sets-t269449.html#692540
- https://www.beatthegmat.com/in-costume-f ... tml#692116
Cheers,
Brent
Here, we have a population of guests, and the two characteristics are:
- Democrat or not Democrat
- Female or male
To learn more about this important technique, watch our free video: https://www.gmatprepnow.com/module/gmat- ... ems?id=919
Then try these additional practice questions that can be solved using the Double Matrix Method:
- https://www.beatthegmat.com/mba/2011/05/ ... question-1
- https://www.beatthegmat.com/mba/2011/05/ ... question-2
- https://www.beatthegmat.com/mba/2011/05/ ... question-3
- https://www.beatthegmat.com/ds-quest-t187706.html
- https://www.beatthegmat.com/overlapping- ... 83320.html
- https://www.beatthegmat.com/finance-majo ... 67425.html
- https://www.beatthegmat.com/ds-french-ja ... 22297.html
- https://www.beatthegmat.com/sets-t269449.html#692540
- https://www.beatthegmat.com/in-costume-f ... tml#692116
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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I posted an explanation for a very similar problem -- pretty much the same problem -- here:psm12se wrote:Guests at a recent congressional party contributed $15,000 to charity. Each guest who was neither a male nor a democrat contributed exactly $1,000. No amount was contributed by any guest who was a male, a democrat, or both. If half of the guests were democrats, how many guests attended the party?
1. The democrats attended the party at a rate of 2 males to every 3 females, half the rate for republicans.
2. 30% of the guests were democrat females.
https://www.beatthegmat.com/who-ate-the- ... 64828.html
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
