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The following information was reported in an article in a newspaper. A sheriff reported that investigators found 7.5 kilograms of cocaine in a car belonging to a man who lives in Virginia. This is a significant amount of cocaine, having a street value of about $1.4 million dollars. Assume that a typical dose contains half a gram of pure cocaine. How much would a dose cost

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sqdancefan

Answer:

  $93.33 per dose

Step-by-step explanation:

 $1.4×10⁶/(7.5 kg) × (1 kg)/(1000 g) × (0.5 g)/(1 dose)

  = (1.4×10⁶×0.5)/(7.5×10³) $/dose = 700/7.5 $/dose ≈ $93.33/dose

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Converting dollars per kilogram to dollars per dose involves units conversion from kilograms to doses. We have done it in two steps, first to grams, then to doses.