Question

a patient is prescribed 7.50 cg of a drug that is available in 15 - mg capsules. how many capsules are needed? round your answer to the nearest whole capsule.
note: reference the si prefixes table for additional information.
______ capsules are needed.

Explanation:

Step1: Convert cg to mg

We know that \( 1\ \text{cg} = 10\ \text{mg} \), so to convert \( 7.50\ \text{cg} \) to mg, we multiply by 10.
\( 7.50\ \text{cg} \times 10 = 75\ \text{mg} \)

Step2: Calculate number of capsules

Each capsule has \( 15\ \text{mg} \) of the drug. To find the number of capsules needed, we divide the total amount of drug needed (in mg) by the amount per capsule.
Let \( n \) be the number of capsules. Then \( n=\frac{75\ \text{mg}}{15\ \text{mg per capsule}} \)
\( n = 5 \)

Answer:

5