Question

solve the dosage by weight conversion problem.
the physician has ordered a syrup orally at 0.3 milligrams per kilogram three times a day. the client weighs 30 pounds 4 ounces.
a) what is the weight in kilograms?
b) what is the daily dose?
c) what is the individual dose?

Explanation:

Step1: Convert pounds and ounces to kilograms

We know that \(1\) pound \( = 0.4536\) kg and \(1\) ounce \(= 0.02835\) kg.
The client weighs \(30\) pounds and \(4\) ounces.
For the pounds part: \(30\times0.4536 = 13.608\) kg
For the ounces part: \(4\times0.02835=0.1134\) kg
Total weight \(W=13.608 + 0.1134=13.7214\approx13.72\) kg

Step2: Calculate the daily dose

The dose is \(0.3\) mg/kg/day.
Using the formula \(D_{daily}=0.3\times W\)
Substitute \(W = 13.72\) kg
\(D_{daily}=0.3\times13.72 = 4.116\approx4.12\) mg/day

Step3: Calculate the individual dose

The dose is given \(3\) times a day.
Using the formula \(D_{individual}=\frac{D_{daily}}{3}\)
Substitute \(D_{daily}=4.12\) mg
\(D_{individual}=\frac{4.12}{3}\approx1.37\) mg

Answer:

a) \(13.72\) kg
b) \(4.12\) mg
c) \(1.37\) mg