A doctor orders 6.0  mL
  of phenobarbital elixir. If the phenobarbital elixir is available as 50.  mg
  per 7.5  mL
 , how many milligrams is given to the patient?

To solve this, we can use the information that 50 mg of phenobarbital is present in 7.5 mL of the elixir, and we need to determine how many milligrams are in the 6.0 mL given to the patient.

We can set up the proportion as:

\[
\frac{50 \, \text{mg}}{7.5 \, \text{mL}} = \frac{x \, \text{mg}}{6.0 \, \text{mL}}
\]

Cross-multiply to solve for \( x \):

\[
x = \frac{50 \, \text{mg} \times 6.0 \, \text{mL}}{7.5 \, \text{mL}} = 40 \, \text{mg}
\]

Thus, the patient is given **40 mg** of phenobarbital.

Would you like more details or have any questions?

Here are 5 related questions:
1. How would the dosage change if the prescribed volume were 10 mL?
2. What would happen if the concentration of the elixir were different?
3. How would you calculate the dosage for different patient weights?
4. What is the importance of converting units properly in medical dosages?
5. How would this calculation differ if the elixir concentration were given in mg/mL?

**Tip:** Always double-check unit consistency when calculating medication dosages to avoid errors.

A doctor orders 6.0 mL of phenobarbital elixir. If the phenobarbital elixir is available as 50 mg per 7.5 mL, how many milligrams is given to the patient?

Learn how to calculate the dosage of phenobarbital when a doctor orders 6.0 mL, using the ratio 50 mg per 7.5 mL. This problem explains the use of proportions and cross-multiplication to determine the milligrams administered. Suitable for students in Grades 5-7.

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