a patient must receive 300 mg of medication in a solution that has a concentration of 150 mg per 5 milliliter of solution. how many milliliters of solution should be given?

150 ml
5 ml
3 ml
10 ml

Question

a patient must receive 300 mg of medication in a solution that has a concentration of 150 mg per 5 milliliter of solution. how many milliliters of solution should be given?

150 ml
5 ml
3 ml
10 ml

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Dimensional Analysis" ], "new_concepts": [ "Dosage Calculation" ], "current_concepts": [ "Dimensional Analysis", "Dosage Calculation" ] } ## Identify the given values and target unknown $$ \begin{aligned} &\text{Desired Dose} = 300\text{ mg} \ &\text{Concentration} = \frac{150\text{ mg}}{5\text{ mL}} \ &\text{Target} = \text{Volume in mL} \end{aligned} $$ ## Calculate the required volume $$ \begin{aligned} \text{Volume} &= 300\text{ mg} \times \frac{5\text{ mL}}{150\text{ mg}} \ &= 2 \times 5\text{ mL} \ &= 10\text{ mL} \end{aligned} $$

150 mL

5 mL

3 mL

10 mL

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Dimensional Analysis" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given values and target unknown

Calculate the required volume

Answer: