Question

Prescription 6mg
_________ x mL = ? ___________ x 4 mL = 12 mL
Stock 2mg

6mg
___________ x 4 mL = 12mL
2mg

1 tsp = 5 mL
12 / 5 =
Answer: ?

Answer 1

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**