Math  /  Algebra

Question12. A patient weighs 16.5 kg and is prescribed a medication for 0.4mg/kg/0.4 \mathrm{mg} / \mathrm{kg} / dose. The stock strength is 20mg/5 mL20 \mathrm{mg} / 5 \mathrm{~mL}. What volume will you give the patient?

Studdy Solution

STEP 1

1. The patient weighs 16.5 kg.
2. The prescribed medication dosage is 0.4 mg per kg per dose.
3. The stock strength of the medication is 20 mg per 5 mL.
4. We need to calculate the volume of medication to administer to the patient.

STEP 2

1. Calculate the total dosage required for the patient.
2. Determine the volume of medication needed based on the stock strength.

STEP 3

Calculate the total dosage required for the patient.
The dosage is given as 0.4 mg per kg. Therefore, the total dosage for the patient is:
Total dosage=Weight of patient×Dosage per kg \text{Total dosage} = \text{Weight of patient} \times \text{Dosage per kg} Total dosage=16.5kg×0.4mg/kg \text{Total dosage} = 16.5 \, \text{kg} \times 0.4 \, \text{mg/kg} Total dosage=6.6mg \text{Total dosage} = 6.6 \, \text{mg}

STEP 4

Determine the volume of medication needed based on the stock strength.
The stock strength is 20 mg per 5 mL. First, find out how many mg are in 1 mL:
Strength per mL=20mg5mL \text{Strength per mL} = \frac{20 \, \text{mg}}{5 \, \text{mL}} Strength per mL=4mg/mL \text{Strength per mL} = 4 \, \text{mg/mL}
Now, calculate the volume needed for the 6.6 mg dosage:
Volume required=Total dosageStrength per mL \text{Volume required} = \frac{\text{Total dosage}}{\text{Strength per mL}} Volume required=6.6mg4mg/mL \text{Volume required} = \frac{6.6 \, \text{mg}}{4 \, \text{mg/mL}} Volume required=1.65mL \text{Volume required} = 1.65 \, \text{mL}
The volume of medication to administer to the patient is:
1.65mL \boxed{1.65 \, \text{mL}}

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