Question

3. A doctor orders 120 milligrams of medication to be given to a patient. If 0.5milliliters of liquid contains 30 milligrams of medication, how many milliliters shouldbe given to the patient?

Answer 1

To provide the patient with 120 milligrams of medication, set up a proportion using the given concentration, calculate the milligrams per milliliter, and find out that the patient should be given 2 milliliters of the medication.

Step-by-step explanation:

The student's question involves calculating the appropriate dosage of medication based on given concentrations, which is a mathematics problem related to ratio and proportion. To find the number of milliliters needed to provide the patient with 120 milligrams of medication, we can set up a proportion:

Since 0.5 milliliters contains 30 milligrams of medication, we can determine how many milliliters would contain 120 milligrams.

First, we calculate the amount of milligrams per milliliter:

30 mg / 0.5 mL = 60 mg/mL

Now we need to find out how many milliliters would be needed to get 120 milligrams:

120 mg / (60 mg/mL) = 2 milliliters

So, the patient should be administered 2 milliliters of the medication to receive a dose of 120 milligrams.

Answer 2

Given

order: 120 mg of medication

0.5 ml contains 30 mg

Procedure

`\begin{gathered} 120\text{ mg}\cdot(0.5ml)/(30mg) \\ 2\text{ ml} \end{gathered}`

The patient should be given 2 ml of medication.