question 62

a pharmacy technician is preparing a prescription for a mouthwash that contains a 1:2:1 ratio of diphenhydramine, lidocaine, and aluminum hydroxide. if the solution contains 60 ml of lidocaine, how many ml of diphenhydramine should the technician compound?

15 ml
30 ml
60 ml
20 ml

Question

question 62

a pharmacy technician is preparing a prescription for a mouthwash that contains a 1:2:1 ratio of diphenhydramine, lidocaine, and aluminum hydroxide. if the solution contains 60 ml of lidocaine, how many ml of diphenhydramine should the technician compound?

15 ml
30 ml
60 ml
20 ml

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Pharmacy Calculations" ], "new_concepts": [ "Compounding Ratios" ], "current_concepts": [ "Pharmacy Calculations", "Compounding Ratios" ] } ## Identify the given ratio and components Using the *Pharmacy Calculations* knowledge point $$ \begin{aligned} &\text{Ratio} = 1 : 2 : 1 \ &\text{Components} = \text{diphenhydramine} : \text{lidocaine} : \text{aluminum hydroxide} \end{aligned} $$ ## Set up the proportion for diphenhydramine Using the *Pharmacy Calculations* knowledge point $$ \begin{aligned} &\frac{\text{diphenhydramine}}{\text{lidocaine}} = \frac{1}{2} \ &\frac{x}{60\text{ mL}} = \frac{1}{2} \end{aligned} $$ ## Solve for the unknown volume Using the *Pharmacy Calculations* knowledge point $$ \begin{aligned} &x = 60\text{ mL} \times \frac{1}{2} \ &x = 30\text{ mL} \end{aligned} $$

15 mL

30 mL

60 mL

20 mL

{ "subject": "Natural Science", "question_type": "Multiple Choice", "knowledge_point": [ "Natural Science", "Pharmacy Calculations", "Compounding Ratios" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given ratio and components

Set up the proportion for diphenhydramine

Solve for the unknown volume

Answer: