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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## A new tower has just been built at the Verbico military tagged by: swerve ##### This topic has 3 expert replies and 0 member replies ### Top Member ## A new tower has just been built at the Verbico military ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult A new tower has just been built at the Verbico military hospital; the number of beds available for patients at the hospital is now 3 times the number available before the new tower was built. Currently, 1/3 of the hospital's original beds, as well as 1/5 of the beds in the new tower, are occupied. For the purposes of renovating the hospital's original wing, all of the patients in the hospital's original beds must be transferred to beds in the new tower. If patients are neither admitted nor discharged during the transfer, what fraction of the beds in the new tower will be unoccupied once the transfer is complete? A. 11/30 B. 29/60 C. 17/30 D. 19/30 E. 11/15 The OA is D Source: Manhattan Prep ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15362 messages Followed by: 1866 members Upvotes: 13060 GMAT Score: 790 swerve wrote: A new tower has just been built at the Verbico military hospital; the number of beds available for patients at the hospital is now 3 times the number available before the new tower was built. Currently, 1/3 of the hospital's original beds, as well as 1/5 of the beds in the new tower, are occupied. For the purposes of renovating the hospital's original wing, all of the patients in the hospital's original beds must be transferred to beds in the new tower. If patients are neither admitted nor discharged during the transfer, what fraction of the beds in the new tower will be unoccupied once the transfer is complete? A. 11/30 B. 29/60 C. 17/30 D. 19/30 E. 11/15 Let the PRE-TOWER number of beds = the LCM of the denominators in the problem = 3*5 = 15. Then the CURRENT number of beds = 3*15 = 45, implying that the number of beds in the NEW tower = 45-15 = 30. Occupied beds = (1/3)15 + (1/5)30 = 11. Non-occupied beds in the new tower = 30-11 = 19. Fraction not occupied in the new tower = 19/30. The correct answer is D. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10197 messages Followed by: 496 members Upvotes: 2867 GMAT Score: 800 Hi j_shreyans, I'm a big fan of TESTing Values (Mitch's explanation), but this question can also be solved with algebraâ€¦. We're told that adding a new tower to an existing hospital allows fore 3 times the number of available beds that were there before the tower was built: Just the hospital = X beds Hospital + new tower = 3X beds Just the tower = 3X - X = 2X beds We're told that 1/3 of the original hospital beds and 1/5 of the tower beds are occupied: 1/3 of X beds + 1/5 of 2X beds = X/3 + 2X/5 = 5X/15 + 6X/15 = 11X/15 occupied beds Next, we're told that all of the patients in the original hospital must be transferred to the tower. Since the tower has 2X beds in it, the tower is nowâ€¦.. [11X/15]/2X full = 11/30 full The question asks for the fraction of the beds in the tower that are UNOCCUPIED: 30/30 - 11/30 = 19/30 UNOCCUPIED Final Answer: D GMAT assassins aren't born, they're mad, Rich _________________ Contact Rich at Rich.C@empowergmat.com ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2852 messages Followed by: 18 members Upvotes: 43 swerve wrote: A new tower has just been built at the Verbico military hospital; the number of beds available for patients at the hospital is now 3 times the number available before the new tower was built. Currently, 1/3 of the hospital's original beds, as well as 1/5 of the beds in the new tower, are occupied. For the purposes of renovating the hospital's original wing, all of the patients in the hospital's original beds must be transferred to beds in the new tower. If patients are neither admitted nor discharged during the transfer, what fraction of the beds in the new tower will be unoccupied once the transfer is complete? A. 11/30 B. 29/60 C. 17/30 D. 19/30 E. 11/15 The OA is D Source: Manhattan Prep We can assume there are 30 beds available in the original hospital wing, and thus there are 60 beds available in the new tower (notice that the total number of beds in the two locations is 90, which is 3 times the number of beds in the original hospital wing). We know that 1/3 x 30 = 10 beds in the original wing and 1/5 x 60 = 12 beds in the new tower are occupied, and the 10 patients from the original wingr are transferred to the new tower. So the new tower now has 12 + 10 = 22 patients, and thus the number of unoccupied beds is 60 - 22 = 38. Therefore, the fraction of the beds in the new tower that are unoccupied after the transfer is 38/60 = 19/30. Answer: D . _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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