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# Development planners detemined the number of new housing units needed

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Manager
Joined: 26 Feb 2015
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Development planners detemined the number of new housing units needed  [#permalink]

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23 Jun 2015, 11:49
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75% (01:07) correct 25% (01:13) wrong based on 232 sessions

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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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Joined: 24 Jun 2008
Posts: 1728
Re: Development planners detemined the number of new housing units needed  [#permalink]

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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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Location: United States
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Re: Development planners detemined the number of new housing units needed  [#permalink]

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

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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.
Re: Development planners detemined the number of new housing units needed   [#permalink] 06 Aug 2018, 18:05
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