Question

timmy presents to the clinic with pain in the right ear. the provider orders 15 mg/kg of tylenol for timmy, who weighs 42 lbs. you have 160 mg/ per 5 mls in the clinic. how many mls do you give to timmy?

Explanation:

Step1: Convert weight from pounds to kilograms

Since 1 lb = 0.453592 kg, then 42 lbs is $42\times0.453592 = 19.050864$ kg.

Step2: Calculate the total milligrams of Tylenol needed

The order is 15 mg/kg, so for a 19.050864 - kg child, the total mg is $15\times19.050864=285.76296$ mg.

Step3: Calculate the volume in mL

The concentration is 160 mg per 5 mL. Let the volume be $V$ mL. We have the proportion $\frac{160}{5}=\frac{285.76296}{V}$. Cross - multiplying gives $160V = 285.76296\times5=1428.8148$. Then $V=\frac{1428.8148}{160}=8.9300925\approx8.93$ mL.

Answer:

$8.93$ mL