Based on a drug concentration of 250 milligrams per 10 milliliters, how many milliliters should be administered for a concentration of 200 milligrams?

To determine the appropriate volume to administer for a drug concentration of 200 milligrams based on the given concentration of 250 milligrams per 10 milliliters, it is essential to establish a relationship between the concentration and volume.

First, we can calculate the concentration in milligrams per milliliter from the original solution. Since there are 250 milligrams in 10 milliliters, the concentration can be expressed as:

[ \text{Concentration} = \frac{250 \text{ mg}}{10 \text{ mL}} = 25 \text{ mg/mL} ]

Now, we need to figure out how many milliliters will provide a total of 200 milligrams. We can set up an equation based on the concentration:

[ \text{Volume in mL} = \frac{\text{Desired amount in mg}}{\text{Concentration in mg/mL}} = \frac{200 \text{ mg}}{25 \text{ mg/mL}} = 8 \text{ mL} ]

So, to achieve a total of 200 milligrams with the concentration of 25 milligrams per milliliter, 8 milliliters should be administered