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The dosage of a certain medication is 5 g for every 50 pounds of body weight. How many ounces of this medication are required for a person who weighs 145 pounds?

Answer :

To calculate the number of ounces of medication required for a person who weighs 145 pounds, follow these steps:

  1. Understand the Dosage Ratio:
    The medication dosage is given as 5 grams for every 50 pounds of body weight.

  2. Calculate Dosage in Grams for 145 Pounds:

    To find the dosage for someone who weighs 145 pounds, you can set up a proportion based on the given dosage ratio.

    [tex]\frac{5 \text{ grams}}{50 \text{ pounds}} = \frac{x \text{ grams}}{145 \text{ pounds}}[/tex]

    Solve for [tex]x[/tex] (the dosage in grams):

    [tex]x = \frac{5 \times 145}{50} = \frac{725}{50} = 14.5 \text{ grams}[/tex]

  3. Convert Grams to Ounces:

    There are approximately 28.35 grams in 1 ounce.

    To convert grams to ounces, divide the grams by the conversion factor:

    [tex]ext{Ounces} = \frac{14.5}{28.35} \approx 0.511 \text{ ounces}[/tex]

Therefore, a person who weighs 145 pounds would require approximately 0.511 ounces of the medication.

Conclusion:
The person needs about 0.511 ounces of medication, based on a dosage of 5 grams per 50 pounds of body weight. This calculation involves converting the weight-specific dose in grams to ounces for a person weighing 145 pounds.

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