Answer :

Final answer:

To solve how many grams are in 5 fl oz of medication, one must convert fluid ounces to milliliters, find the concentration in mg/mL, convert the total volume in milliliters to milligrams, and then convert milligrams into grams, resulting in 0.9 grams.

Explanation:

To find out how many grams are in 5 fluid ounces of the medication, we need to start with the provided information that there are 30 mg in a teaspoonful of liquid medication. From there, we convert teaspoons to milliliters using the given conversion of 1 teaspoon to approximately 4.93 milliliters. Afterward, we convert fluid ounces to milliliters knowing that 1 fluid ounce is approximately 29.5735 milliliters.



Here is the step-by-step solution:


  • Find out how many milliliters are in 5 fluid ounces:
    5 fl oz × 29.5735 mL/fl oz = 147.8675 mL

  • Convert teaspoons to milliliters for the known concentration:
    1 teaspoon = 4.93 mL, so 30 mg is in 4.93 mL.

  • Calculate the concentration in mg/mL:
    30 mg / 4.93 mL = 6.08945 mg/mL

  • Convert the total volume of medication in mL to mg using the concentration:
    147.8675 mL × 6.08945 mg/mL = 900 mg

  • Finally, convert mg to grams because 1000 mg = 1 g:
    900 mg = 0.9 g

Thus, there are 0.9 grams in 5 fluid ounces of the medication.

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