Putting it All together – Practice Problems #1 Answers Using the Formula Method There is not a “formula” for the six conversion problems below. The answers are calculated using ratio-proportion or dimensional analysis. Conversion Problem 1. 3000 mL = ___L Dimensional Analysis Linear Ratio-Proportion 1000 mL = 1 L : 3000 mL = x L 1000 x = 3000 x= 3 xL 1L 3000mL 3000 3L 1000mL 1 1000 3000 mL = 3 L 3000 mL = 3 L 2. 4 oz = ___mL 1 oz = 30 mL : 4 oz = x mL 1 x = 120 x = 120 xmL 4 oz = 120 mL 4 oz = 120 mL 3. 2 tsp = ___mL 1 tsp = 5 mL : 2 tsp = x mL 1 x = 10 x = 10 xmL 198 lbs = ___kg 2.2 lb = 1 kg : 198lbs = x kg 2.2 x = 198 x = 90 xkg 420 mcg = ____mg 1000 mcg = 1 mg : 420 mcg = x mg 1000 x = 420 x = 0.42 1kg 198lbs 198 90kg 2.2lb 1 2.2 198 lbs = 90 kg 198 lbs = 90 kg 5. 5mL 2tsp 10 10mL 1tsp 1 1 2 tsp = 10 mL 2 tsp = 10 mL 4. 30mL 4oz 120 120mL 1oz 1 1 xmg 1mg 420mcg 420 0.42mg 1000mcg 1 1000 420 mcg = 0.42 mg 420 mcg = 0.42 mg 6. gr ½ = ____mg gr 1 = 60 mg : gr 0.5 = x mg 1 x = 30 x = 30 gr ½ = 30 mg xmg 60mg gr 0.5 30 30mg gr1 1 1 gr ½ = 30 mg Page 1 of 4 Dosage Problem Formula Method 7. Order: Theo-Dur 450 mg Available: Theo-Dur 300 mg tablets 450mg 1tablet 1.5tablets 300mg Give _______________ Give 1.5 tablets 8. Order: Synthroid: 0.05 mg Available: Synthroid: 100 mcg tablets 50mcg 1tablet 0.5tablets 100mcg Give_______________ Give 0.5 tablet 9. Order: Lanoxin 0.25 mg Available: Lanoxin 0.125 mg/mL 0.25mg 1mL 2mL 0.125mg Give_______________ Give 2 mL 10. Order: Coumadin 7.5 mg Available: Coumadin 5 mg tablets 7.5mg 1tablet 1.5tablets 5mg Give______________ Give 1.5 tablets 11. Order: Tylenol gr X Available: Tylenol 300 mg tablets 600mg 1tablet 2tablets 300mg Give_________________ Give 2 tablets 12. Order: K-Lor 20 mEq Available: K-Lor 10 mEq tablets 20mEq 1tablet 2tablets 10mEq Give_________________ Give 2 tablets 13. Order: Digoxin 0.25 mg Available: Digoxin 125 mcg/2 mL 250mcg 2mL 4mL 125mcg Give________________ Give 4 mL 14. Order: Keflex 1000 mg Available: Keflex 1 g capsules 1000mg 1capule 1capsule 1000mg Give________________ Give 1 capsule Page 2 of 4 Dosage Problem 15. Order: Guaifenesin 400 mg Available: Guaifenesin 100 mg/5 mL 400mg 5mL 20mL 100mg Give________________ Give 20 mL 16. Order: Aspirin gr V Available: Aspirin 300 mg tablets 300mg 1tablet 1tablet 300mg Give_______________ Give 1 tablet 17. Order: Ethionamide 0.75 g Available: Ethionamide 250 mg tablets 750mg 1tablet 3tablets 250mg Give___________________ Give 3 tablets 18. Order: 0.003 g Imitrex Available: 3 mg/0.5 mL 3mg 0.5mL 0.5mL 3mg Give_______________ Give 0.5 mL 19. Order: Dilaudid 4 mg Available: Dilaudid 2 mg tablets 4mg 1tablet 2tablets 2mg Give________________ Give 2 tablets 20. Order: Penicillin G 750,000 units 750000units 1mL 3.75 3.8mL 200000units Available: Penicillin G vial containing 1,000,000 units Formula Method Give 3.8 mL Directions: Add 3 mL diluent to yield 200,000 units/mL Give___________________ 21. Order: Nafcillin 0.5g 500mg 1mL 2mL 250mg Available: Vial of Nafcillin powder Give 2 mL Directions: Reconstitute with 6.6 mL diluent. Each vial yields 250mg/mL solution Give_________________ Page 3 of 4 Dosage Problem 22. Order: Cefoxitin 500mg Formula Method 500mg 2mL 1mL 1000mg Available: A 5 g vial of powdered Cefoxitin Give 1 mL Directions: Add 15.6 mL to yield a concentration of 1g/2mL Give__________________ 23. Order: Streptozocin 250mg 250mg 1mL 2.5mL 100mg Available: Vial of powdered Streptozocin Give 2.5 mL Directions: Add 9.5 mL to yield 100mg/mL Give__________________ 24. Order: Ampicillin 250mg 250mg 1mL 0.5mL 500mg Available: A vial of powdered Ampicillin Give 0.5 mL Directions: Add 10mL normal saline to yield 500mg/mL Give_________________ 25. Order: Rocephin 210mg 210mg 1mL 0.21 0.2mL 1000mg Available: A vial of powdered Rocephin Give 0.2 mL Directions: Add 3mL sterile water to yield a concentration of 1g/mL Give_________________ Page 4 of 4
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