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A new tower has just been built at the Verbico military [#permalink]

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20 Dec 2011, 08:05

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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

I don't understand how can you infer from the sentence "the number of beds available for patients at the hospital is now 3 times the number available before the new tower was built" that the "The new tower is not itself three times the size of the old wing; the problem states that the capacity of the entire hospital is three times its original value, so the new tower has twice as many beds as the old wing" I keep re-reading the sentece and still see that the new hospital is 3 times bigger than the old one. HELP

So think of it this way: If the hospital currently has 10 beds and it is to triple the number of beds, there will now be 30 total beds: 10 for the original tower and 20 for the new tower. The number of beds in the new tower will therefore be double that of the old tower.

Had the new tower contained three times (e.g. 10 x 3 = 30 + 10 = 40) then there would be four times as many beds.

I think you may have conflated the term “new tower” with new hospital. “New hospital,” which is never explicitly stated, is a combination of the new tower and the old hospital.

Hope that resolves any ambiguity! _________________

Could someone please show the complete solution to this problem? I am getting an answer that is not listed in the answer choices. Please help. TIA. _________________

Old: number of beds = x. x/3 occupied New: number of beds = 2x (overall 3x). 2x/5 occupied. So, 8x/5 unoccupied.

x/3 now moved from old to new -> unoccupied beds in new will be = 8x/5 - x/3 = 19x/15

So, fraction of unoccupied in new -> # of unoccupied / total in new = (19x/15) / 2x = 19/30 -> D _________________

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D as correct answer. remember that the now the in total it can hold 3times as many people including the old building. Then set your own number of beds for simplicity 15 (old) 30 (new) 1/3 of 15 is 5 and 1/5 of 30 is 6.... 5+6 / 30 is your fraction of beds filled... you must subtract 11 from 30 to get the answer of how many are not filled. 19/30. _________________

Re: A new tower has just been built at the Verbico military [#permalink]

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29 Nov 2013, 03:16

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Re: A new tower has just been built at the Verbico military [#permalink]

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17 Jul 2015, 22:23

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Re: A new tower has just been built at the Verbico military [#permalink]

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17 Jul 2015, 23:58

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olivite 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?

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A new tower has just been built at the Verbico military [#permalink]

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18 Dec 2015, 16:41

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olivite 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

I don't understand how can you infer from the sentence "the number of beds available for patients at the hospital is now 3 times the number available before the new tower was built" that the "The new tower is not itself three times the size of the old wing; the problem states that the capacity of the entire hospital is three times its original value, so the new tower has twice as many beds as the old wing" I keep re-reading the sentece and still see that the new hospital is 3 times bigger than the old one. HELP

Forget variables and formulas, try to pick some smart numbers: Before new tower: 15 After new tower: 15*3=45 (OVERALL ! means new tower + old wing)

New tower: 30 and 20% are occupied = 6 Old wing: 15 (as before renovation) and \(\frac{1}{3}\)are occupied = 5 and then this amount is transfered to the new tower -> 6+5=11 as of now there are 11 beds occupied in the new tower and 30-11=19 beds free, what brings us to our solution\(\frac{19}{30}\) are unoccupied _________________

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