A pediatrician prescribes the antibiotic amoxicillin to treat a child suffering from an ear infection. The prescribed dose is to be 72.1 mg of drug per kilogram patient body mass per day. The drug is to be administered twice each day in the form of a liquid containing 126.0 mg amoxicillin per milliliter.

If the child weighs 35.01 pounds, how many milliliters of the liquid should be administered in each dose?

1 answer

Convert 35.01 pounds to kg. There are 2.204 pound/kg.

72.1 mg drug/kg x # kg = mg drug/day.
Twice per day so divide by 2 for per dose.
Your liquid is 126.0 mg drug/mL so
126.0/mL drug x # mL = per dose from above and solve for # mL. Watch the significant figures. Post your work if you get stuck.