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# A hotel has 3-bed rooms and 4-bed rooms. The range of their

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A hotel has 3-bed rooms and 4-bed rooms. The range of their [#permalink]  10 Sep 2007, 14:26
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A hotel has 3-bed rooms and 4-bed rooms. The range of their price is $600; and the range of the 3-bed rooms is$200, what is the range of the 4-bed rooms?

1. The minimum price for the 4-bed rooms is $800 2. The difference between the highest price of a 3-bed room and the lowest price of a 4-bed room is$
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Re: DS Hotel [#permalink]  10 Sep 2007, 14:39
ttar wrote:
A hotel has 3-bed rooms and 4-bed rooms. The range of their price is $600; and the range of the 3-bed rooms is$200, what is the range of the 4-bed rooms?

1. The minimum price for the 4-bed rooms is $800 2. The difference between the highest price of a 3-bed room and the lowest price of a 4-bed room is$

You are missing a price on (2). Regardless, this should be B
You have:
Min3 < Bed3 < Min3 + 200
Min4 < Bed4 < Min3 + 600
Trying to find:
Min3 + 600 - Min4 = ?

(1) Min4 = 800
Given this, you can't find what you are looking for. Just imagine Min3 being a variable, INSUFFICIENT.

(2) Min3 + 200 - Min4 = Some Number
Min3 - Min4 = Some Number - 200
Plug this in:
600 + (Min3 - Min4) should get you the number
SUFFICIENT
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Min4 < Bed4 < Min3 + 600

How do you get this equation
VP
Joined: 10 Jun 2007
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ttar wrote:

Min4 < Bed4 < Min3 + 600

How do you get this equation

The question says the range of hotel's price is 600. This means both 3-bed and 4-bed has range of 600. This means if the minimum price of 3-bed is Min3, the maximum price of 4 bed will be Min3 + 600

Of course, I assume that three bedroom price is lower, which I think you can assume here in this case.

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St1:
Insufficient,
Range of 3-bed rooms could be 400-600 (range 200) while range of 4-bed rooms could be 800-1000 (range 200, while combined range 600). Could also be range of 3-bed rooms 500-700 while range of 4-bed rooms 800-1100..

St2:
600 = highest4-lowest3

higest3 - lowest3 = 200
lowest3 = higest3-200 ---[1]

600 = highest4 - highest3 + 200
400 = higest4 - highest3 --- [2]

Then we're also told higest3-lowest4 = x ---> higest3 = x+lowest4
so
400 = higest4 - x - lowest4
highest4 - lowest4 = range of 4-bed rooms =400+x. Sufficient.

Ans B
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