Dimensional Analysis - Complex
1. Units and Conversion 1.6) Dimensional Analysis 1.6.1) Dimensional Analysis
1.6.1.1) Dimensional Analysis Hard 1
Total tried: Correct: Wrong:
A 254 lb patient is taking a chemo drug costing 38.14 cent per mg. The recommended dose is 13.3 mg per kg of body weight. The nurse is administering a solution of 2.66 mg/mL concentration and the pump is infusing it at the rate of 1.7 mL/min. The tubing of this particular pump delivers 18 gtt/mL.
Calculate the total cost of the drug used for this patient, in USD.
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lb equals 585.66 kg
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This problem has the following paired information:
38.14 cent = 1 mg drug
2.66 mg drug = 1 mL solution
13.3 mg drug = 1 kg body weight
1.7 ml solution = 1 min
18 drops = 1 mL solution
patient's body weight = 254 lb
Also, you need to know that 1 kg = 2.2 lb.
Since this problem is asking cost, we take the relationship which has cent in it, and keep at the first denominator
| 38.14 cent | × | 13.3 mg | × | 1 kg | × | 254 lb |
| 1 mg | 1 kg | 2.2 lb | 1 |
Therefore, the cost in cent is = 58565.7.
Therefore, the cost in USD is =585.66. Ans.