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Math  /  Numbers & Operations

QuestionA patient is admitted with fever over 39.5C. The order is to administer lbuprofen liquid 470 mg PO q8H PRN for fever greater than 38.5C. Ibuprofen is available as 500mg/5 mL500 \mathrm{mg} / 5 \mathrm{~mL}.
You will administer \qquad mL to the patient per dose? □\square A

Studdy Solution

STEP 1

1. The patient needs to be administered 470 mg of Ibuprofen.
2. Ibuprofen is available in a concentration of 500 mg/5 mL 500 \, \text{mg} / 5 \, \text{mL} .
3. We need to calculate the volume in mL to administer 470 mg per dose.

STEP 2

1. Understand the concentration of the available Ibuprofen.
2. Set up a proportion to find the required volume.
3. Solve the proportion to find the volume in mL.

STEP 3

The concentration of Ibuprofen is given as 500 mg/5 mL 500 \, \text{mg} / 5 \, \text{mL} . This means for every 5 mL of the liquid, there are 500 mg of Ibuprofen.

STEP 4

Set up a proportion to find the volume of liquid needed for 470 mg.
500 mg5 mL=470 mgx mL\frac{500 \, \text{mg}}{5 \, \text{mL}} = \frac{470 \, \text{mg}}{x \, \text{mL}}

STEP 5

Write the proportion clearly:
5005=470x \frac{500}{5} = \frac{470}{x}

STEP 6

Solve the proportion by cross-multiplying to find x x .
500x=470×5 500x = 470 \times 5

STEP 7

Calculate the value of x x .
500x=2350 500x = 2350 x=2350500 x = \frac{2350}{500} x=4.7 x = 4.7
The volume of Ibuprofen liquid to administer per dose is:
4.7 mL\boxed{4.7 \, \text{mL}}

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