To treat a bacterial infection, a doctor orders 4 tablets of amoxicillin per day for 10 days. If each tablet contains 250 mg of amoxicillin, how many ounces of the medication are given in 10 days? (2.6)

Verified step by step guidance

1. Calculate the total number of tablets taken over 10 days by multiplying the number of tablets per day by the number of days: 4 tablets/day * 10 days.
2. Determine the total milligrams of amoxicillin by multiplying the total number of tablets by the milligrams per tablet: total tablets * 250 mg/tablet.
3. Convert the total milligrams to grams by using the conversion factor: 1 gram = 1000 milligrams.
4. Convert the total grams to ounces using the conversion factor: 1 ounce = 28.3495 grams.
5. Compile the steps to find the total ounces of amoxicillin administered over the 10-day period.

Key Concepts

Dosage Calculation

Dosage calculation involves determining the total amount of medication prescribed over a specific period. In this case, the doctor prescribes 4 tablets per day for 10 days, which requires multiplying the daily dosage by the number of days to find the total number of tablets and subsequently the total milligrams of the medication.

Unit Conversion

Unit conversion is the process of changing a quantity expressed in one unit to another unit. In this question, the total amount of amoxicillin needs to be converted from milligrams to ounces, necessitating an understanding of the conversion factors between these two units of measurement.

Metric and Imperial Systems

The metric system (milligrams) and the imperial system (ounces) are two different systems of measurement. Understanding the relationship between these systems is crucial for accurately converting quantities, as 1 ounce is equivalent to approximately 28,349.5 milligrams, which is essential for solving the problem correctly.