kuristar wrote:
The main ingredient in a certain prescription drug capsule cost $500 per kilogram. If each capsule contains 600 milligrams of ingredient, what is the cost of the ingredient in a capsule? (1 kilogram = 10^6 milligrams)
A. $0.30
B. $0.83
C. $1.20
D. $3.00
E. $3.33
Perfect opportunity for
UNITS CONTROL, one of the most powerful tools of our method!
\({\text{licit}}\,\,{\text{converters}}\,\,:\,\,\,\frac{{\$ \,500}}{{1\,\,{\text{kg}}}}\,\,\,\,\,;\,\,\,\,\,\frac{{1\,\,{\text{capsule}}}}{{600\,\,{\text{mg}}}}\,\,\,\,;\,\,\,\,\,\frac{{1\,\,{\text{kg}}}}{{{{10}^6}\,\,{\text{mg}}}}\)
\(?\,\,:\,\,\,\$ \,\,\,\,{\text{for}}\,\,\,1\,\,{\text{capsule}}\)
\({\text{?}}\,\,\,{\text{:}}\,\,\,\,1\,\,{\text{capsule}}\,\,\left( {\frac{{600\,\,{\text{mg}}}}{{1\,\,{\text{capsule}}}}} \right)\left( {\frac{{1\,\,{\text{kg}}}}{{{{10}^6}\,\,{\text{mg}}}}} \right)\left( {\frac{{\$ \,500}}{{1\,\,{\text{kg}}}}} \right)\,\,\,\, = \,\,\,\,\$ \,\,\frac{{500 \cdot 600}}{{{{10}^6}}}\,\,\, = \,\,\,\$ \,\,\frac{{30 \cdot {{10}^4}}}{{{{10}^6}}}\,\, = \,\,\,\$ \,0.3\)
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: https://gmath.net
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82% (00:49) correct 
6/10 * 0.5 = $0.3
