Working in the health sciences, you will find that you will have to make different kinds of mathematical conversions. Start this activity by reading through the following story problems to familiarize yourself with the various conversions that you will need to perform. Then, go online and research measurement conversions, collecting information that will help you make the appropriate conversions in the story problems below. Submit all of your work including any conversion charts or information that you used to complete the story problems.

Question

1. A patient is prescribed 80 mg of Tramadol Hydrochloride injection. The stock dose is 50mg / 2 mL. What volume will you require?

2. A laboratory technician measures 48 ml of urine sample in a 4-ounce beaker. How many more ml of urine are necessary to fill the beaker?

3. You fill a storage cabinet with 12 bottles of normal saline. Each bottle contains 1000 mL. How many ounces of this solution are in the storage cabinet?

4. A patient is prescribed 6 mg of cough medication. The label on the prescription says there are 2 mg per 4 mL. How many teaspoons of cough medication does the patient need to take?

5. A patient requires 80 milligrams of Risperidone. The stock dose is 40mg / 10mL. What volume is required?

6. Normal urinary output for an adult is between 400 to 2,000 mL daily. If a person follows the recommended 8 glasses of 8 ounces of liquid intake and has an output of 1,500 mL, what is their net liquid gain / loss?

7. Dymelor 0.75 g is ordered. Scored tablets are labeled 500 mg. each. How many tablets will you give?

TABLE Grading Rubric
Full credit Partial Credit No credit Math Conversions Student submits answers to all math problems with clear work that shows conversions made. Student submits answers and all work, but explanations or work may not be fully clear. Student does not submit all answers, and / or does not submit work along with the answers.

Answer 1

Here are the solutions to the story problems along with the necessary conversions and calculations.

Conversion Information

• Milligrams (mg) to Milliliters (mL): Use the concentration to find the needed volume.
• Milliliters (mL) to Ounces (oz): 1 oz = 29.5735 mL
• Milligrams (mg) to Grams (g): 1 g = 1000 mg
• Teaspoons (tsp) to Milliliters (mL): 1 tsp = 5 mL
• Ounces (oz) to Milliliters (mL): 1 oz = 30 mL

Problem Solutions

1. Tramadol Hydrochloride Injection Calculation

   • Stock Dose: 50 mg / 2 mL
   • Required Dose: 80 mg
   • Calculation: \[ \text{Volume required} = \frac{\text{Required Dose}}{\text{Stock Dose per mL}} = \frac{80 \text{ mg}}{(50 \text{ mg} / 2 \text{ mL})} = \frac{80 \text{ mg} \times 2 \text{ mL}}{50 \text{ mg}} = \frac{160 \text{ mL}}{50} = 3.2 \text{ mL} \]
   • Answer: 3.2 mL

2. Measurement of Urine Sample

   • Existing volume: 48 mL
   • Volume of a 4 oz beaker: \[ 4 \text{ oz} \times 30 \text{ mL/oz} = 120 \text{ mL} \]
   • Additional Volume Needed: \[ 120 \text{ mL} - 48 \text{ mL} = 72 \text{ mL} \]
   • Answer: 72 mL

3. Normal Saline Calculation

   • Total Volume of Saline: \[ 12 \text{ bottles} \times 1000 \text{ mL/bottle} = 12000 \text{ mL} \]
   • Convert to Ounces: \[ \text{Ounces} = \frac{12000 \text{ mL}}{30 \text{ mL/oz}} = 400 \text{ oz} \]
   • Answer: 400 oz

4. Cough Medication Calculation

   • Each dose: 2 mg per 4 mL
   • Required Dose: 6 mg
   • Calculation for Volume Needed: \[ \text{Volume for 6 mg} = \frac{6 \text{ mg} \times 4 \text{ mL}}{2 \text{ mg}} = 12 \text{ mL} \]
   • Convert mL to tsp: \[ \text{tsp} = \frac{12 \text{ mL}}{5 \text{ mL/tsp}} = 2.4 \text{ tsp} \]
   • Answer: 2.4 tsp

5. Risperidone Calculation

   • Stock Dose: 40 mg / 10 mL
   • Required Dose: 80 mg
   • Calculation: \[ \text{Volume required} = \frac{80 \text{ mg}}{(40 \text{ mg} / 10 \text{ mL})} = \frac{80 \text{ mg} \times 10 \text{ mL}}{40 \text{ mg}} = 20 \text{ mL} \]
   • Answer: 20 mL

6. Net Liquid Gain/Loss Calculation

   • Liquid Intake: 8 glasses × 8 oz/glass = 64 oz
   • Convert Intake to mL: \[ 64 \text{ oz} \times 30 \text{ mL/oz} = 1920 \text{ mL} \]
   • Urinary Output: 1500 mL
   • Net Gain/Loss: \[ 1920 \text{ mL} - 1500 \text{ mL} = 420 \text{ mL} \]
   • Answer: Net gain of 420 mL

7. Dymelor Tablet Calculation

   • Ordered: 0.75 g = 750 mg
   • Tablet Strength: 500 mg per tablet
   • Required Tablets: \[ \text{Tablets Required} = \frac{750 \text{ mg}}{500 \text{ mg/tablet}} = 1.5 \text{ tablets} \]
   • Final tablet amount (rounded generally, can give half tablet if applicable):
   • Answer: 1.5 tablets (or 2 depending on dispensing rules)

Summary

Make sure to validate that the rules regarding administering medications (like half-tablets) align with healthcare practice standards in your workplace! Please feel free to ask if you need further clarification or additional conversions.