The patient is to take 1,500 mg PO daily of Medication Q. The pharmacy dispenses a bottle of Medication Q labeled "750 mg tablets." The nurse sets up the following proportion:
750 mg: 1 tablet :: 1,500 mg: x tablet
Which of the following represents the correct multiplication of the means and extremes?
750 x 1,500 = 1 xX
1 x 1,500 = 750 × X
1 x x = 750 × 1,500
The Correct Answer is C
A. 750 x 1,500 = 1 x X: This incorrectly multiplies the known dose by the desired dose without following the proper proportion rule of means and extremes.
B. 1 x 1,500 = 750 × X: This setup places the number of tablets on the wrong side of the equation, making the calculation incorrect.
C. 1 x x = 750 × 1,500: This correctly applies the rule of means and extremes, multiplying the means (1 and 1,500) and extremes (750 and x) to solve for the unknown number of tablets.
D. 750 x 1 = 1,500 x x: This reverses the proportion setup and does not accurately solve for x, leading to an incorrect calculation
Nursing Test Bank
Naxlex Comprehensive Predictor Exams
Related Questions
Correct Answer is C
Explanation
A. Captopril 12.5 mg PO at 0700 and 1700: The dose, route, and timing are clearly specified, so no clarification is needed before administration.
B. Ketorolac 15 mg IM stat: The order provides a clear dose, route, and timing for immediate administration, making it safe to give without clarification.
C. Morphine sulfate 45.0 mg PO once a day for pain: The use of a trailing zero (45.0 mg) can lead to dosing errors if the decimal point is misread. Standard practice is to write whole numbers without a trailing zero (45 mg). The nurse should clarify with the prescriber to ensure safe administration.
D. Regular insulin 7 units SUBQ 30 minutes before breakfast: The dose, route, and timing are clearly indicated, so this order does not require clarification.
Correct Answer is A
Explanation
Calculation:
- Convert the Ordered Dose from grams (g) to milligrams (mg).
Ordered Dose = 0.75 g
Conversion factor = 1 g = 1,000 mg
Ordered Dose (mg) = 0.75 g x 1,000 mg/g
= 750 mg
Dose Ordered (D) = 750 mg (the converted dose)
Dose Available (H) = 250 mg
Quantity (Q) = 5 mL
Volume (mL) = (Dose Ordered (D) / Dose Available (H)) x Quantity (Q)
= (750 mg / 250 mg) x 5 mL
= 3 x 5 mL
= 15 mL
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