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Development planners detemined the number of new housing units needed

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Development planners detemined the number of new housing units needed  [#permalink]

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New post 23 Jun 2015, 11:49
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Development planners determined the number of new housing units needed in a certain area using the formula H = kJ, where H is the number of of new housing units needed in the area, J is the number of new jobs to be created in the area, and k is a constant.
How many new housing units did the planners determine were needed?

(1) The number of new jobs to be created was 60,000.

(2) According to the formula used by the planners, if 37,500 jobs were to be created, then 7,500 new housing units would be needed.
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Re: Development planners detemined the number of new housing units needed  [#permalink]

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New post 23 Jun 2015, 11:58
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We need to find the value of kJ. Statement 1 tells us the value of J, but we have no information about k. Statement 2 tells us the value of k - if we plug the numbers in S2 into the formula H = kJ, we find 7500 = k*37,500, which we can solve for k. But using S2 alone we have no information about the value of J. Using both statements, we know both J and k, so we can find kJ, which is equal to H. So the answer is C.
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Re: Development planners detemined the number of new housing units needed  [#permalink]

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New post 15 Jul 2016, 14:43
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erikvm wrote:
Development planners determined the number of new housing units needed in a certain area using the formula H = kJ, where H is the number of of new housing units needed in the area, J is the number of new jobs to be created in the area, and k is a constant.
How many new housing units did the planners determine were needed?

(1) The number of new jobs to be created was 60,000.

(2) According to the formula used by the planners, if 37,500 jobs were to be created, then 7,500 new housing units would be needed.


We need to know the number of houses needed.
Given: H= KJ
1) # of jobs to be created = 60,000 Insufficient (don't know # of houses )
2) H = KJ
7,500 = K(37,500)
\(K = \frac{1}{5}\) Insufficient (don't know how many jobs needed)

1+2)
\(H = \frac{1}{5}(60,000)\)
H = 12,000(# of houses needed) Sufficient
Answer = C
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Re: Development planners detemined the number of new housing units needed  [#permalink]

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New post 06 Aug 2018, 18:05
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Initially I was lost as to why it wasn't B because it literally says 7,500 houses. But it says IF. So its the IF that gives you the formula to find K but not ACTUAL housing units needed. For anyone still confused. Hope it helps.
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Re: Development planners detemined the number of new housing units needed   [#permalink] 06 Aug 2018, 18:05
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Development planners detemined the number of new housing units needed

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