If 500 mg of a drug is used to prepare 80 mL of a syrup, how much of the drug in mg is contained in each teaspoonful dose?

Rationale

Each teaspoonful dose contains 31.25 mg of the drug.

To find the amount of drug in each teaspoonful dose, we first determine the concentration of the drug in the syrup and then calculate the amount per teaspoon. With 500 mg of the drug in 80 mL of syrup, each teaspoon (approximately 5 mL) contains 31.25 mg of the drug.

A (6.25) YOUR ANSWER

This choice represents an incorrect calculation. If we mistakenly divide the total drug amount by 80 mL without considering the teaspoon volume, we would arrive at a much smaller quantity. The correct amount per teaspoon needs to account for the actual volume of syrup being measured.

B (18.75) YOUR ANSWER

This option also reflects an incorrect understanding of the calculation. One might arrive at this number by calculating the amount per milliliter and then incorrectly applying it to the total volume. However, the calculation must be based on the teaspoon measurement specifically.

C (31.25) CORRECT

This choice accurately reflects the correct calculation. By finding the concentration (500 mg / 80 mL = 6.25 mg/mL) and then multiplying by the volume of a teaspoon (5 mL), we get 31.25 mg (6.25 mg/mL * 5 mL), which is the correct amount of drug in each teaspoonful dose.

D (93.75) YOUR ANSWER

This answer suggests an overestimation of the drug per teaspoonful. It may arise from mistakenly multiplying the total drug amount instead of calculating the per teaspoon value. The amount in a single teaspoonful cannot exceed the total drug available in 80 mL, which is why this choice is incorrect.

Conclusion

The calculation of drug concentration in a syrup is crucial for determining proper dosing. In this case, each teaspoonful dose contains 31.25 mg of the drug, derived from the total amount of 500 mg in 80 mL of syrup. The incorrect choices stem from misunderstandings or miscalculations of volume and concentration, highlighting the importance of accurate dosing in pharmaceutical preparations.

If 500 mg of a drug is used to prepare 80 mL of a syrup, how much of the drug in mg is contained in each teaspoonful dose?

Each teaspoonful dose contains 31.25 mg of the drug.

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