Question

5. A patient must receive an injection of 2.4 grams of medication. If 1 milliliter ofliquid contains 120 milligrams of medication, how many milliliters should be injectedinto the patient?

Answer 1

The patient should receive an injection of 20 milliliters of medication after converting 2.4 grams to milligrams and using the medication's concentration to determine the volume required.

Step-by-step explanation:

Calculating Medication Dosages:

To determine the volume in milliliters of medication a patient should receive, we need to convert the weight of the medication in grams to milligrams and then use the concentration in milligrams per milliliter to find the volume.

The patient needs 2.4 grams of medication. Since there are 1,000 milligrams in one gram, we first convert 2.4 grams to milligrams:

2.4 grams × 1,000 milligrams/gram = 2,400 milligrams

We then use the information that 1 milliliter of liquid contains 120 milligrams of medication. To find the milliliters of medication the patient should be injected with, we divide the total milligrams needed by the number of milligrams per milliliter:

2,400 milligrams ÷ 120 milligrams/milliliter = 20 milliliters

Therefore, the patient should receive an injection of 20 milliliters of the medication.

Answer 2

Given:

The required medication is r = 2.4 grams.

The objective is to find the quantity in terms of milliliters to be injected into the patient.

Step-by-step explanation:

Since it is given that 1 milliliter of liquid contains 120 milligrams.

Then, the required quantity can be converted into milligrams as,

`\begin{gathered} 1\text{gram}=1000\text{milligrams} \\ 2.4\text{grams}=2.4*1000\text{milligrams} \\ 2.4\text{grams}=2400\text{milligrams} \end{gathered}`

Consider the unknown milliliters as x. Now, 2400 milligrams can be converted into milliliters as,

`\begin{gathered} 1\text{milliliter}=120\text{milligrams . . . .(1)} \\ x\text{ milliliter=2400milligrams . . . . . . (2)} \end{gathered}`

To find x:

On dividing equation (2) by equation (1),

`\begin{gathered} x=(2400)/(120) \\ x=20\text{milliliters} \end{gathered}`

Hence, the milliliters to be injected into the patient is 20 milliliters.