College

If there are 30 mg in a teaspoonful of liquid medication, how many grams are in 5 fl oz of the medication?

A. 90 g
B. 900 g
C. 0.99 g
D. 9 g

Answer :

To convert the medication dosage from teaspoons to grams, we first find that 5 fluid ounces is equivalent to 30 teaspoons (since 1 fl oz equals 6 tsp). Multiplying 30mg per teaspoon by 30 teaspoons gives 900mg, which equals 0.9 grams. Therefore, the correct answer is option c) 0.99 g.

If there are 30mg in a teaspoonful of liquid medication, and a student is asking how many grams are in 5 fl oz of the medication, we need to use dimensional analysis to convert teaspoons to fluid ounces and then to grams. As given in the US Customary System Conversions, 1 teaspoon is equivalent to 5 mL and 1 fluid ounce is equivalent to 30 mL. Since there are 30mg per teaspoon, we have to calculate the number of teaspoons in 5 fl oz:

  • 1 fl oz = 2 tbsp = 6 tsp
  • 5 fl oz = 5 x 6 tsp = 30 tsp

Therefore, 30mg/tsp x 30 tsp = 900mg, which is 0.9 grams, since there are 1000mg in a gram. In summary, there are 0.9 grams of medication in 5 fl oz. Therefore, the correct answer is option c) 0.99 g.