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The number of rooms at Hotel G is 10 less .....

by Vincen » Tue Jan 09, 2018 6:22 am
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.
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by DavidG@VeritasPrep » Tue Jan 09, 2018 9:13 am
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
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by [email protected] » Tue Jan 09, 2018 12:29 pm
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

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by Scott@TargetTestPrep » Tue Jan 16, 2018 5:02 pm
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.

Answer: E

Scott Woodbury-Stewart
Founder and CEO
[email protected]

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