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Chapter 1: Problem 47

For a pharmacist dispensing pills or capsules, it is often easier to weigh the medication to be dispensed than to count the individual pills. If a single antibiotic capsule weighs \(0.65 \mathrm{~g}\), and a pharmacist weighs out \(15.6 \mathrm{~g}\) of capsules, how many capsules have been dispensed?

Short Answer

Expert verified
The pharmacist has dispensed 24 antibiotic capsules.

Step by step solution

01

Write down the given information

We are given: - Weight of a single capsule = \(0.65 \mathrm{~g}\) - Total weight of capsules dispensed = \(15.6 \mathrm{~g}\)
02

Determine the number of capsules

To determine the number of capsules, divide the total weight of capsules dispensed by the weight of a single capsule: Number of capsules = \( \frac{Total \thinspace weight \thinspace of \thinspace capsules \thinspace dispensed}{Weight \thinspace of \thinspace a \thinspace single \thinspace capsule} \)
03

Substitute the values

Now, let's substitute the given values in the formula: Number of capsules = \( \frac{15.6 \mathrm{~g}}{0.65 \mathrm{~g}} \)
04

Calculate the result

Now, divide the total weight by the weight of a single capsule: Number of capsules = \( \frac{15.6}{0.65} \) = 24
05

State the answer

The pharmacist has dispensed 24 antibiotic capsules.

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