Step 1: Convert the weight in lbs to kg
1 kg = 2.2 lbs
44/2.2 = 20 kg
Step 2: Calculate the dosage based upon the child's weight in kg
10 mg = x mg
1 kg 20 kg
10 * 20 = 1x
X = 200 mg
Step 3: Based upon the concentration of the stock medication, determine how many ml will give a dose of 200 mg. Remember liquid dosages have to measured in syringes, droppers, medicine spoons that are marked in ml.
According to the information, the drug, when mixed, will have a concentration of 500 mg/100 ml
Using ratio and proportion, we can solve for ml needed for a dose of 200 mg.
500 mg = 200 mg
100 ml x ml
100 * 200 = 500X
20000 = 500X
Divide both sides by 500 to find out X
X = 40 ml
You could have reduced 500mg/100 ml to 5 mg/1 mg and then cross multiplied. The answer will be the same!