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# In a certain performance of a 3-act play, the first act was

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Eternal Intern
Joined: 07 Jun 2003
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In a certain performance of a 3-act play, the first act was [#permalink]

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25 Jul 2003, 21:35
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In a certain performance of a 3-act play, the first act was 18 minutes shorter than the third act and half as long as the second act. If the average (arithmetic mean) length of the 3 acts was 46 minutes, how many minutes long was the third act?
GMAT Instructor
Joined: 07 Jul 2003
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Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE
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Re: PS: Three Variables; impossible to solve [#permalink]

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25 Jul 2003, 22:08
Curly05 wrote:
In a certain performance of a 3-act play, the first act was 18 minutes shorter than the third act and half as long as the second act. If the average (arithmetic mean) length of the 3 acts was 46 minutes, how many minutes long was the third act?

Everything variable can be expressed in terms relative to one act so you really have only one variable here. Make some effort...
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Best,

AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

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26 Jul 2003, 04:06
I - X
II - 2X
III - X+18
Total 46*3=138

4X=120, => X=30 =>

I - 30
II - 60
III - 48
Total check 30+60+48=138

AkamaiBrah, you must be a very patient person to keep yourself calm when someone faces difficulties with problems of this kind. No offence to you, Curly!
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Respect,

KL

Eternal Intern
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26 Jul 2003, 06:11
More like don't overlook things; thank you akami and lynn.
Akami   [#permalink] 26 Jul 2003, 06:11
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