Problem 28 - Chemistry for Allied Health

Question

A patient needs a \(20 . \%\) decrease in their medication dosage from \(125 \mathrm{mg}\). What will his dosage be after the decrease?

Step-by-Step Solution

Answer

The new dosage is 100 mg.

Step 1: Understand the Problem

We are asked to decrease the medication dosage by 20% from an initial dosage of 125 mg. This means we need to find out 20% of the current dosage and subtract it from the original dosage.

Step 2: Calculate 20% of the Original Dosage

To find 20% of the dosage, multiply 125 mg by 0.20. This represents the amount that is to be deducted from the original dosage.\[ 125 \times 0.20 = 25 \text{ mg} \]

Step 3: Subtract the Calculated Decrease from the Original Dosage

Subtract the 25 mg from the initial 125 mg dosage to find the new dosage after the 20% decrease.\[ 125 - 25 = 100 \text{ mg} \]

Key Concepts

Medication Dosage

Medication dosage refers to the specific amount of medication that is to be taken at one time or within a certain time frame. It is crucial that this dosage is accurate to ensure the effectiveness of the treatment while minimizing potential side effects. Dosage instructions are usually provided by healthcare providers and are based on various factors such as:

• Patient size and weight
• Medical condition being treated
• Liver and kidney function
• Other medications being taken
• Age and overall health

By maintaining the correct dosage, healthcare providers aim to achieve a desired concentration of the drug in the bloodstream, maximizing the drug's benefits while reducing risks. Any adjustments in dosage, such as increases or decreases, must be done carefully under professional supervision.

Percentage Decrease in Dosage

When a doctor decides to lower the medication dosage, it is often described as a percentage decrease. This indicates the proportion of the original dosage to be reduced, maintaining a clear understanding of how much the total dosage will be lowered. In our example, the patient's medication dosage needs a 20% reduction.

To calculate this, we first determine what 20% of the original dosage is. This is achieved by multiplying the original dosage by 0.20 (since 20% is the same as the decimal 0.20). Understanding how to compute the percentage decrease is essential for properly adjusting medication levels safely.

A percentage decrease can be essential in clinical settings because:

• It allows precise adjustments for patient-specific requirements.
• Helps in monitoring and responding to changing patient conditions over time.
• Ensures the medication is both effective and safe as patient needs evolve.

Mathematical Calculation of Dosage Change

Once the desired percentage decrease is known, the next step is the precise calculation of how this impacts the dosage amount, which involves simple arithmetic. Let's see how this is done in practice:

To find the amount by which the dosage needs to be reduced, multiply the original dosage by the percentage decrease in decimal form.

For instance, calculating 20% of a 125 mg dosage involves:\[125 \times 0.20 = 25 \text{ mg}\]This calculation tells us that 25 mg should be reduced from the original dose.

Finally, subtract this value from the original dosage to determine the new dosage:\[125 - 25 = 100 \text{ mg}\]By ensuring correct calculations, we can confidently adjust the medication amount per the medical advice. Ensuring accuracy in these steps is essential for patient safety and well-being.