To find out how much of the prescription is needed in mL based on the stock solution, we can set up the proportion correctly.
You're given:
- Prescription: 6 mg
- Stock: 2 mg
- Desired volume: 4 mL (to equal total of 12 mL as per the proportion).
To find how much of the stock solution you need to achieve the 6 mg required:
\[ \frac{6 \text{ mg}}{x \text{ mL}} = \frac{2 \text{ mg}}{4 \text{ mL}} \]
Cross multiplying gives:
\[ 6 \text{ mg} \cdot 4 \text{ mL} = 2 \text{ mg} \cdot x \text{ mL} \]
\[ 24 = 2x \]
Dividing both sides by 2:
\[ x = 12 \text{ mL} \]
Now, if \(12 \text{ mL}\) is how much of the stock solution is needed to make \(6 \text{ mg}\), and if you want to convert \(12 \text{ mL}\) into teaspoons:
Since \(1 \text{ tsp} = 5 \text{ mL}\):
To convert meters to teaspoons:
\[ \frac{12}{5} = 2.4 \text{ tsp} \]
So the answer is:
Answer: 2.4 tsp