Math Snap

STEP 1

1. The patient needs to be administered 470 mg of Ibuprofen.
2. Ibuprofen is available in a concentration of $500 \, \text{mg} / 5 \, \text{mL}$.
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 $500 \, \text{mg} / 5 \, \text{mL}$. 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.
$$\frac{500 \, \text{mg}}{5 \, \text{mL}} = \frac{470 \, \text{mg}}{x \, \text{mL}}$$

STEP 5

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

STEP 6

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

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