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A patient is prescribed 2 tablets, 3 times a day. Each tablet contains 200 mg of the drug. Calculate the total mass of the drug taken in one day in kilograms.

Mathematics

ScanSolve AI Answer

Answer

0.0012 kg\text{0.0012 kg}

Step-by-step solution

4 steps

here's how to solve the problem:

  1. Calculate the total number of tablets taken in one day.

    The prescription is "2 x 3", which means 2 tablets taken 3 times a day.

    Total tablets=2 tablets/dose×3 doses/day\text{Total tablets} = 2\, \text{tablets/dose} \times 3\, \text{doses/day} Total tablets=6 tablets/day\text{Total tablets} = 6\, \text{tablets/day}
  2. Calculate the total mass of the drug in milligrams (mg).

    Each tablet has a mass of 200 mg200\, \text{mg}.

    Total mass in mg=6 tablets×200 mg/tablet\text{Total mass in mg} = 6\, \text{tablets} \times 200\, \text{mg/tablet} Total mass in mg=1200 mg\text{Total mass in mg} = 1200\, \text{mg}
  3. Convert the total mass from milligrams (mg) to grams (g).

    There are 1000 mg1000\, \text{mg} in 1 g1\, \text{g}.

    Total mass in g=1200 mg1000 mg/g\text{Total mass in g} = \frac{1200\, \text{mg}}{1000\, \text{mg/g}} Total mass in g=1.2 g\text{Total mass in g} = 1.2\, \text{g}
  4. Convert the total mass from grams (g) to kilograms (kg).

    There are 1000 g1000\, \text{g} in 1 kg1\, \text{kg}.

    Total mass in kg=1.2 g1000 g/kg\text{Total mass in kg} = \frac{1.2\, \text{g}}{1000\, \text{g/kg}} Total mass in kg=0.0012 kg\text{Total mass in kg} = 0.0012\, \text{kg}

    The total mass of the drug taken by the patient in one day is 0.0012 kg\boxed{\text{0.0012 kg}}.

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