A medication is ordered at 600 mg from a vial with a concentration of 300 mg/5 mL. How much should be administered?

To determine how much medication should be administered, first, it's essential to understand the concentration of the medication in the vial, which is 300 mg in every 5 mL. This means that for every 5 mL, there are 300 mg of the drug.

The ordered dosage is 600 mg. To find out how many mL are needed to achieve this dosage, we can set up a proportion based on the vial’s concentration.

Using the information provided:

1. From the vial, 300 mg corresponds to 5 mL.

2. To find out how many mL correspond to 600 mg, we can use the ratio:

[

\frac{300 \text{ mg}}{5 \text{ mL}} = \frac{600 \text{ mg}}{x \text{ mL}}

]

3. Cross-multiplying gives:

[

300 \cdot x = 600 \cdot 5

]

4. Simplifying that equation:

[

300x = 3000

]

5. Dividing both sides by 300 yields:

[

x = 10 \text{ mL}

]

This calculation confirms that in order to administer 600