A drug used to treat asthma is 55% bioavailable as 5-mg tablets to be taken once daily. If a patient is switched to the inhalant form of the drug, which is 87% bioavailable, how many metered 500-ug sprays should the patient administer every 12 hours to receive an equivalent drug dose? The answer is 3.16 or 3 sprays. Please show how this question is solved.
Bioavailability of the drug in tablet form=55% of 5 mg
= 55*5000/100
=2750micro grams
Bioavailability of drug in inhaler form=500*87/100
=435micrograms
So if the person consumes 5 mg tablet he will get 2750micrograms of drug in bioavailable form
For equivalent amount of drug number of metered sprays required per day (24 hrs) =2750/435=6.32
So every 12 hours number of inhalers =3.16
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