Question

a pharmacy technician needs to convert 50 grams of a medication to ounces for accurate dosing. how many ounces is this? round your solution to two decimal places.

use the conversion factor \\(1\text{ oz} \approx 28.35\text{ g}\\).

• 141.75 oz
• 1417.5 oz
• 1.764 oz
• 1.76 oz

Explanation:

Set up the conversion ratio

$$ \text{Given mass} = 50\text{ g} $$

$$ \text{Conversion factor: } 1\text{ oz} = 28.35\text{ g} \implies \frac{1\text{ oz}}{28.35\text{ g}} = 1 $$

Calculate the mass in ounces

$$ \text{Mass in ounces} = 50\text{ g} \times \frac{1\text{ oz}}{28.35\text{ g}} = \frac{50}{28.35}\text{ oz} $$

$$ \frac{50}{28.35} \approx 1.763668\text{ oz} $$

Round to two decimal places

$$ 1.763668\text{ oz} \approx 1.76\text{ oz} $$

Answer:

• (A) 141.75 oz
• (B) 1417.5 oz
• (C) 1.764 oz
• (D) 1.76 oz (Correct answer)