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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 solve this problem, we need to determine how many ounces of medication are required based on the person's body weight. Here's how we can approach it:


  1. Understand the dosage rate:

    The medication dosage is 5 grams for every 50 pounds of body weight.


  2. Set up a proportion:

    We have a person who weighs 145 pounds. To find out how many grams are needed, set up the proportion:

    [tex]\frac{5 \text{ g}}{50 \text{ lbs}} = \frac{x \text{ g}}{145 \text{ lbs}}[/tex]


  3. Solve for [tex]x[/tex]:

    Cross multiply to solve for [tex]x[/tex]:

    [tex]5 \, (145) = 50 \, x[/tex]
    [tex]725 = 50x[/tex]
    Divide both sides by 50:

    [tex]x = \frac{725}{50} = 14.5 \text{ g}[/tex]

    So, 14.5 grams of the medication are required for someone who weighs 145 pounds.


  4. Convert grams to ounces:

    There are approximately 0.035274 ounces in a gram. To find the equivalent weight in ounces, multiply the number of grams by this conversion factor:

    [tex]14.5 \, \text{g} \times 0.035274 \, \text{oz/g} \approx 0.51148 \, \text{oz}[/tex]

    Therefore, approximately 0.51 ounces of the medication are needed.



In conclusion, for a person weighing 145 pounds, about 0.51 ounces of the medication are required.

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