Advanced Math/natural sciences mathematics
Expert: Ahmed Salami - 9/20/2010
QuestionThe recommended daily dosage of the drug Algebracium is 3.50 mg per kilogram of body weight of the patient for adult patients over 25.0 kg and 2.75 mg per kilogram of body weight for adult patients under 25.0 kg. The medication is contained in a solution which has 3.20 mg of medication per milliliter of solution. How much of the solution, in milliliters, should be given daily to a patient if the patient weighs 185 pounds? Keep at least five significant digits in your intermediate results. Round your final answer to the nearest tenth of a milliliter.
AnswerHi Kristin,
1 pound = 0.45359 kg
185 pounds = 83.915 kg
The patient then needs 3.50 mg per kg of body weight which is a daily total of (3.50 x 83.915) mg. If 1 ml of the solution contains 3.20 mg, then the daily volume would be
(3.50 x 83.915)/3.20 = 91.982 ml
= 92.0 ml (to the nearest tenth)
Regards