The label on a concentrated drug solution indicates that it contains 85 mg of medication in 5 mL. If the patient is to receive 230 mg of​ medication, how much of the solution should be​ given?
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Part 1

enter your response here mL of concentrated drug solution should be given.
​(Round to the nearest tenth as​ needed.)

To determine how much of the solution should be given, we can set up a proportion based on the information provided.

We know that:

- 85 mg of medication is contained in 5 mL of solution.
- The patient needs 230 mg of medication.

Let \( x \) be the amount of solution (in mL) required to provide 230 mg of medication. The proportion can be set up as follows:

\[
\frac{85 \, \text{mg}}{5 \, \text{mL}} = \frac{230 \, \text{mg}}{x \, \text{mL}}
\]

Now solve for \( x \):

\[
x = \frac{230 \, \text{mg} \times 5 \, \text{mL}}{85 \, \text{mg}} = \frac{1150}{85} = 13.5 \, \text{mL}
\]

So, **13.5 mL** of the concentrated drug solution should be given.

Would you like more details or have any questions? Here are some related questions:

1. What is the process for calculating drug dosages for different concentrations?
2. How would the amount of solution change if the patient needed a smaller dosage, such as 150 mg?
3. What are common rounding rules for medical dosages?
4. How does dilution affect the amount of solution required for a certain dosage?
5. How would the calculation change if the concentration of the solution was different?

**Tip:** When working with proportions, always double-check your units to make sure they are consistent.

The label on a concentrated drug solution indicates that it contains 85 mg of medication in 5 mL. If the patient is to receive 230 mg of medication, how much of the solution should be given? (Round to the nearest tenth as needed.)

Learn how to calculate the correct amount of a concentrated drug solution to administer based on dosage requirements. This problem uses proportions to solve for the volume of solution needed to provide 230 mg of medication. Suitable for Grades 6-8.

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