Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND EditionThe 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
Problem Solving
Question: 13
Category: Algebra Simultaneous equations
Page: 63
Difficulty: 600
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Given:
1. The number of rooms at Hotel G is 10 less than twice the number of rooms at Hotel H.
2. The total number of rooms at Hotel G and Hotel H is 425
Asked: What is the number of rooms at Hotel G?
Let the number of rooms at hotel G be g and at hotel H be h.
g = 2h -10 ; \(h = \frac{g+10}{2}\). (1)
g + h = 425 (2)
\(g + \frac{g + 10}{2} = 425\)
3g + 10 = 850
g = 840/3 = 280
IMO E