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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 ## The number of rooms at Hotel G is 10 less ..... tagged by: Vincen ##### This topic has 3 expert replies and 0 member replies ## The number of rooms at Hotel G is 10 less ..... The number of rooms at Hotel G is 10 less than twice the number of rooms at Hotel H. If the total number of rooms at Hotel G and Hotel H is 425, what is the number of rooms at Hotel G? (A) 140 (B) 180 (C) 200 (D) 240 (E) 280 The OA is the option E. I got confused when I tried to set the equation? Experts, may you help me? Thanks in advanced. ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10197 messages Followed by: 496 members Upvotes: 2867 GMAT Score: 800 Top Reply Hi Vincen, We're told that the number of rooms at Hotel G is 10 less than twice the number of rooms at Hotel H and that the total number of rooms at Hotel G and Hotel H is 425. We're asked for the number of rooms at Hotel G. This question can be solved by TESTing THE ANSWERS. To start, we have a total of 425 rooms and we're told that Hotel G has 10 less than TWICE the rooms at Hotel H, so Hotel G clearly has a LOT more rooms than Hotel H does. Thus, we should start with one of the larger answers. Let's TEST Answer D. IF.... Hotel G has 240 rooms 240 is 10 less than twice (H) 240 = 2H - 10 250 = 2H 125 = H In this scenario, there would be 240+125 = 365 rooms. This is clearly TOO SMALL though (there are supposed to be 425 rooms), so we need both hotels to have more rooms. There's only one answer that allows for that.... If you want to prove the correct answer though, it would just take a bit more math... IF.... Hotel G has 280 rooms 280 is 10 less than twice (H) 280 = 2H - 10 290 = 2H 145 = H In this scenario, there would be 280+145 = 425 rooms. This is an exact match for what we were told, so this MUST be the answer. Final Answer: E GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com ### GMAT/MBA Expert Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 122 members Upvotes: 1153 GMAT Score: 770 Vincen wrote: The number of rooms at Hotel G is 10 less than twice the number of rooms at Hotel H. If the total number of rooms at Hotel G and Hotel H is 425, what is the number of rooms at Hotel G? (A) 140 (B) 180 (C) 200 (D) 240 (E) 280 The OA is the option E. I got confused when I tried to set the equation? Experts, may you help me? Thanks in advanced. Number of hotel rooms in Hotel H: H Number of hotel room ins Hotel G: 2H - 10 Total = 425 H + 2H-10 = 425 3H = 435 H = 145 2H - 10 = 280 --> the answer is E _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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### GMAT/MBA Expert

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Vincen wrote:
The number of rooms at Hotel G is 10 less than twice the number of rooms at Hotel H. If the total number of rooms at Hotel G and Hotel H is 425, what is the number of rooms at Hotel G?

(A) 140
(B) 180
(C) 200
(D) 240
(E) 280
We can let the number of rooms in hotel G = g and the number of rooms in hotel H = h and create the two equations:

g = 2h - 10

and

g + h = 425

Substituting the first equation for g in the second equation, we have:

2h - 10 + h = 425

3h = 435

h = 145

So g = 2(145) - 10 = 280.

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scott@targettestprep.com

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