Question

If a drug has a concentration of 350 mg per 10 mL, how many milliliters are needed to deliver 2 grams of the drug? Express your answer rounded to the nearest milliliter.

Answer 1

To deliver 2 grams of a drug with a concentration of 350 mg per 10 mL, convert 2 grams to milligrams (2000 mg), and then divide this value by the concentration in mg/mL (350 mg/10 mL) to find the volume in milliliters. After calculation, this results in approximately 6 milliliters, when rounded to the nearest milliliter.

Step-by-step explanation:

To calculate how many milliliters are needed to deliver 2 grams of the drug when the concentration is 350 mg per 10 mL, we start with the conversion of grams to milligrams since the concentration is provided in milligrams. Remember, 1 gram equals 1000 milligrams:

1. Convert 2 grams to milligrams: 2 grams × 1000 = 2000 mg.
2. Determine how many milliliters provide 350 mg: 10 mL corresponds to 350 mg.
3. Calculate the proportion: (2000 mg) / (350 mg/mL) = Number of milliliters needed.
4. Perform the calculation: 2000 / 350 = 5.71428571 mL.
5. Round to the nearest milliliter: Approximately 6 mL.

Therefore, approximately 6 milliliters of the drug are needed to deliver a dose of 2 grams.

Answer 2

1 mg = 0.001 grams
so 350 mg = (350 * 0.001) = 0.35 grams

0.35 / 10 = 2/x....0.35 grams to 10 mL = 2 grams to x mL
cross multiply
0.35(x) = (10)(2)
0.35x = 20
x = 20/0.35
x = 57.142 rounds to 57 mL <===