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An inpatient received a certain dosage of a drug on Wednesday. The dosage was decreased by 20% on Thursday. If the patient received 464 milligrams of the drug on Thursday, what was the dosage received on Wednesday? Round your answer to the nearest milligram.

Answer :

Final answer:

Given that 464 milligrams (mg) is 80% of the original dose, we can determine the original dosage by dividing 464 by 80 and then multiplying by 100 which gives 580mg. This indicates that the patient originally received a dose of 580mg on Wednesday.

Explanation:

To solve this problem, you need to find what 100% is when 80% equals 464 milligrams. This uses the principle of percentages in mathematics. So, if 464mg represents 80% of the original dosage (because the dosage was decreased by 20% on Thursday), we can find the original dosage (100%) using the relation:

464mg = 80% of original dosage

To find the 100% value, we divide 464 by 80 and then multiply by 100. In mathematical terms:

Original dosage = (464mg / 80) * 100

When you perform this calculation, you get 580 milligrams. Therefore, the patient received a dosage of 580 milligrams on Wednesday.

Remember, understanding the dosage and accurate administration of medicines is crucial in health care to avoid potential toxicity or side effects. It is always important to follow the directions provided by the health care provider.

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