Math Problem Statement

The nurse is caring for a patient who has a prescription for piperacillin 1.5 grams iM. The pharmacist sends a vial containing 2000 mg. The directions for reconstitution state to add 4 milliliters of normal saline to obtain a concentration of 1 gram per 2.5 mL. How many milliliters of the reconstituted drug should the nurse administer with each dose? (Record your answer using 2 decimal places)

Solution

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Math Problem Analysis

Mathematical Concepts

Unit Conversion
Proportions

Formulas

1 gram = 1000 milligrams
Proportion: (Dose prescribed / Volume) = (Concentration / Volume)

Theorems

Proportion Theorem

Suitable Grade Level

Grades 10-12 (Pharmacy/Nursing Math)