Math Problem Statement

·       Your patient is to receive 60 mEq of a medication by mouth. The label on the container reads: 30 mEq per 20 ml. How many milliliters should you give to the patient in a medicine cup?   

Solution

To determine how many milliliters to give the patient, we can set up a proportion based on the label information.

We know that:

  • The patient needs 60 mEq.
  • The medication is 30 mEq per 20 mL.

Now, we set up a proportion:

30mEq20mL=60mEqxmL\frac{30 \, \text{mEq}}{20 \, \text{mL}} = \frac{60 \, \text{mEq}}{x \, \text{mL}}

Solve for xx:

x=60mEq×20mL30mEq=40mLx = \frac{60 \, \text{mEq} \times 20 \, \text{mL}}{30 \, \text{mEq}} = 40 \, \text{mL}

Therefore, you should give 40 mL to the patient.

Would you like a more detailed explanation or have any questions?

Here are 5 related questions:

  1. What if the patient needed 45 mEq instead? How much should be administered?
  2. How would the calculation change if the concentration was 25 mEq per 15 mL?
  3. How can you double-check your answer using dimensional analysis?
  4. What happens if the medication concentration is expressed in mg instead of mEq?
  5. How would you convert milliliters to teaspoons if a patient requires a home dose?

Tip: Always check units carefully to ensure you are administering the correct dosage.

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Math Problem Analysis

Mathematical Concepts

Proportions
Unit Conversion

Formulas

Proportion formula: a/b = c/d
Unit conversion formula

Theorems

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Suitable Grade Level

Grades 5-7