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A client has a medication compounded into a syrup labeled 50 mg per 5 mL. The instructions indicate the client should take 150 mg per dose. How many mL of the syrup should the client take? (Round to the nearest 10th)(Place only the numerical value in the space provided.)

User Richard M
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Final answer:

To find out how many mL of syrup corresponds to a 150 mg dose, we use a proportion based on the given concentration. The calculation shows that the client should take 15.0 mL of syrup per dose.

Step-by-step explanation:

The question involves calculating the volume of syrup a client should take based on the dosage prescribed by the medication label. The medication is compounded into a syrup with a concentration of 50 mg per 5 mL. Given the dosage of 150 mg per dose, we need to determine how many mL corresponds to this amount.

To find the answer, we set up a proportion where 50 mg corresponds to 5 mL, so 150 mg corresponds to x mL: 50 mg / 5 mL = 150 mg / x mL Multiplying both sides by x and then dividing by 50 mg gives us: x = (150 mg / 50 mg) × 5 mL x = 3 × 5 mL. x = 15 mL. Therefore, the client should take 15.0 mL of the syrup per dose, which is rounded to the nearest tenth as per the instructions.

User Rohan Prabhu
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