The main ingredient in a certain prescription drug capsule cost $500

You are right...

How did you get that? for some reason, I got 0.83...

kilograms of substance in one capsule = 600/10^6

Cost of substance in one capsule = 500* (600/10^6)

Gotcha. Thank you, I think I divided by 500 instead of multiplying.

The main ingredient in a certain prescription drug capsule costs $500.00 per kilogram. If each capsule contains 600 milligrams of this ingredient, what is the cost of the ingredient in a capsule? (1 kilogram = 10^6 milligrams)

$.30
$.83
$1.20
$3.00
$3.33

The main ingredient in a certain prescription drug capsule costs $500.00 per kilogram. If each capsule contains 600 milligrams of this ingredient, what is the cost of the ingredient in a capsule? (1 kilogram = 10^6 milligrams)

$.30 $.83 $1.20 $3.00 $3.33

what is the cost of 600 milligrams given cost of one killogram is 500

10^6 / 600 = 1/6 *10^4 = number of capsules in one killogram

500 / (1/6 *10^4) = 30 * 10^-2 = 3/10 = 0.3

The main ingredient in a certain prescription drug capsule costs $500.00 per kilogram. If each capsule contains 600 milligrams of this ingredient, what is the cost of the ingredient in a capsule? (1 kilogram = 10^6 milligrams)

$.30
$.83
$1.20
$3.00
$3.33

10^6 / 10^3 = 1000mg
500/10^3 = 500/1000 = 0.5

can stop here, we know 1000mg = 0.5$
so must be A

or we can work the rest out 6/10 * 0.5 = $0.3

Find the cost per mg, and multiply that by 600mg…

1kg = 1*10^6 mg. Cost per kg = $500. Therefore cost per mg = $500/10^6 = $5/10^4 .

Multiply this by 600 to get cost per 600mg = (5/10^4)*(6*10^2) = 30*10^-2 = 0.3

Check other Conversion problems to practice in Special Questions Directory.

\(\frac{5*10^2}{10^6}*6*10^2=0,3\)

500/(10^6)=$0.0005/mg

0.0005*600=0.3

by far this is the best solution since you can solve it manually with no calculator. I bet some used calculator for this question.

Hi All,

We're told that 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). This is a 'unit conversion' question and comes down to basic Arithmetic. You can do the math in a number of different ways - and if you're concerned about manipulating "big numbers", then you can do several 'smaller decimal shifts' instead.

Since $500 = 1 kilogram = 1,000,000 milligrams
$500 = 1,000,000 milligrams
$50 = 100,000 milligrams
$5 = 10,000 milligrams
$0.50 = 1,000 milligrams

We're asked what 600 milligrams of the drug would cost. Since 600 is less than 1,000 we know that we'll spend LESS than $0.50 on the drug. There's only one answer that fits...

Final Answer:

GMAT assassins aren't born, they're made,
Rich

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.

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