Final answer:
To administer a dose of 25 milligrams of Benadryl from a vial labeled 5 mL = 12.5 mg, one must give 10 milliliters of the solution.
Step-by-step explanation:
The question asks for a calculation on how many milliliters should be administered when a prescription calls for 25 milligrams of Benadryl but the vial is labeled 5 milliliters = 12.5 milligrams. To find the correct amount in milliliters, we use a simple proportion, since we know that 5 milliliters contain 12.5 milligrams of the medicine.
To administer 25 milligrams, we calculate:
- (5 mL / 12.5 mg) = (X mL / 25 mg)
- X = (5 mL × 25 mg) / 12.5 mg
- X = (125 mL² / mg) / 12.5 mg
- X = 10 mL
This means that to give a dose of 25 milligrams of Benadryl, 10 milliliters of the solution must be administered.