ATI TEAS (Test of Essential Academic Skills) Version 7MathematicsMedium

A patient is prescribed a medication that comes in a solution of 500 mg/10 mL. The physician orders 0.75 grams of the medication. How many milliliters of the solution should the nurse administer?

  1. A7.5 mL
  2. B10 mL
  3. C20 mL
  4. D15 mL
Show answer & explanation

Correct answer: D. 15 mL

First, convert the ordered dose to milligrams: 0.75 grams = 750 mg (since 1 gram = 1000 mg). Then, use the concentration to find the volume: (750 mg / 500 mg) * 10 mL = 1.5 * 10 mL = 15 mL.

Why the other options are wrong

  • A. This answer indicates a miscalculation in either unit conversion or proportion, possibly using 0.75 mg directly.
  • B. This answer suggests using the full 10 mL without proper dose calculation or conversion.
  • C. This answer indicates an error in the ratio or an incorrect multiplication factor.

Dosage Calculation (Liquid)

Determining the correct volume of a liquid medication to administer based on the prescribed dose and available concentration.

  • Requires consistent units (e.g., mg or g).
  • Formula: (Desired Dose / Available Concentration) * Volume of Available Concentration.
  • Always double-check calculations to prevent medication errors.

Memory trick: Desired over Have, Times the Volume you Get.

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