Question

Josh ingests 800mg of ibuprofen. His body metabolizes (uses up) 20% of the medicine

per hour. How much medicine is remaining in his system after four hours? Round your
answer to the nearest gram.

Answer 1

328 mg medicine is remaining in his system after four hours .

Explanation:

Here we have , Josh ingests 800 mg of ibuprofen. His body metabolizes (uses up) 20% of the medicine per hour.We need to find How much medicine is remaining in his system after four hours .Let's find out:

According to question , Josh ingests 800 mg of ibuprofen and His body metabolizes (uses up) 20% of the medicine per hour . let amount of medicine left after 4 hours is x , So Amount of medicine left after 1 hour :

⇒
`800-(800(20))/(100) = 800-160 = 640 mg`

Amount of medicine left after 2 hour :

⇒
`640-(640(20))/(100) =512 mg`

Amount of medicine left after 3 hour :

⇒
`512-(512(20))/(100) =409.6 mg`

Amount of medicine left after 4 hour :

⇒
`409.6-(409.6(20))/(100) =328 mg`

Therefore , 328 mg medicine is remaining in his system after four hours .