Question:

A patient is receiving pain relief via a 1000 ml IV bag solution. When the patient has received 300 ml of the IV solution, they have received 2.1 mg of morphine. How many milligrams of morphine were contained in the original 1000 ml IV bag? (If rounding is necessary, round to the nearest tenth.)

A 7.0 mg.

explanation

Start by setting up a proportion:
\(\frac{\mathrm{2.1mg}}{\mathrm{300ml}} = \frac{\mathrm{xmg}}{\mathrm{1000ml}}\)
\((2.1)(1000)=(300)(x)\)
\(x=\frac{\mathrm{2100}}{\mathrm{300}} = \frac{\mathrm{21}}{\mathrm{3}}\)
\(x=7\)
7.0 mg of morphine was contained in the original bag.

A patient is receiving pain relief via a 1000 ml IV bag solution. When the patient has received 300 ml of the IV solution, they have received 2.1 mg of morphine. How many milligrams of morphine were contained in the original 1000 ml IV bag? (If rounding is necessary, round to the nearest tenth.)

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