Bunuel wrote:
At the Trenchard Oaks apartment complex, a two-bedroom apartment costs 50% more to rent than a one-bedroom apartment. If Alex were to rent a two-bedroom apartment for x months it would cost him the same amount as it would to rent a one-bedroom for 12 months. What is x ?
A. 6
B. 8
C. 9
D. 10
E. 18
\(? = x\)
Trivial application of
UNITS CONTROL, one of the most powerful tools of our course:
\(\left. \matrix{
{\rm{one - bed}}\,\,\,:\,\,\,\,{{\$ \,\,2d} \over {1\,\,{\rm{month}}\,}}\,\,\,\,\,\,\,\, \to \,\,\,\,\,\,12\,\,{\rm{months}}\,\,\,\left( {{{\$ \,\,2d} \over {1\,\,{\rm{month}}\,}}} \right)\,\,\, = \,\,\,\$ \,\,24d\,\,\,\,\, \hfill \cr
{\rm{two - bed}}\,\,:\,\,\,{{\$ \,\,3d} \over {\,1\,\,{\rm{month}}\,}}\,\,\,\,\,\,\,\, \to \,\,\,\,\,\,x\,\,{\rm{months}}\,\,\,\left( {{{\$ \,\,3d} \over {1\,\,{\rm{month}}\,}}} \right)\,\,\, = \,\,\,\$ \,\,3xd \hfill \cr} \right\}\,\,\,\,\,\,\,\mathop \Rightarrow \limits^{{\rm{stem}}} \,\,\,\,\,\,\,24d = 3xd\,\,\,\,\,\,\mathop \Rightarrow \limits^{d\,\, \ne \,\,0} \,\,\,\,\,\,\,? = x = 8\)
This solution follows the notations and rationale taught in the GMATH method.
Regards,
Fabio.
_________________
Fabio Skilnik ::
GMATH method creator (Math for the GMAT)
Our high-level "quant" preparation starts here:
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