To determine how many teaspoons of cough medication the patient needs to take, we first need to calculate how many milliliters (mL) of the medication the patient requires to achieve the prescribed dose of 6 mg.
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Determine the concentration of the medication: The prescription indicates that there are 2 mg of medication in 4 mL.
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Calculate the number of mL needed for the prescribed dose: We can use a proportion to find out how many mL are needed to obtain 6 mg.
\[ \frac{2 \text{ mg}}{4 \text{ mL}} = \frac{6 \text{ mg}}{x \text{ mL}} \]
Cross-multiplying gives us:
\[ 2x = 4 \times 6 \]
\[ 2x = 24 \]
\[ x = \frac{24}{2} = 12 \text{ mL} \]
So, the patient needs to take 12 mL of the medication to achieve a dose of 6 mg.
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Convert mL to teaspoons: There are 5 mL in 1 teaspoon. To convert the volume from mL to teaspoons:
\[ \text{Teaspoons} = \frac{12 \text{ mL}}{5 \text{ mL/teaspoon}} = 2.4 \text{ teaspoons} \]
Therefore, the patient needs to take 2.4 teaspoons of cough medication.
To summarize:
- Prescription: 12 mL needed
- Stock: 2 mg per 4 mL
- Dosage in teaspoons: 2.4 teaspoons.
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