drug m is supplied 800 mg per 3 ml. you need to administer 1.6 g of drug m. how many milliliters will you give using a medicine cup

To calculate how many milliliters of Drug M you need to administer, let's follow these steps:

1. **Identify the given concentration**:
   - 800 mg of Drug M is supplied per 3 mL.
   
2. **Convert 1.6 g to mg**:
   - Since 1 g = 1000 mg, we convert 1.6 g to mg:
   \[
   1.6 \, \text{g} = 1.6 \times 1000 \, \text{mg} = 1600 \, \text{mg}
   \]

3. **Set up a proportion to solve for the volume (mL)**:
   \[
   \frac{800 \, \text{mg}}{3 \, \text{mL}} = \frac{1600 \, \text{mg}}{x \, \text{mL}}
   \]
   - Now, solve for \( x \) (the number of milliliters):
   \[
   x = \frac{1600 \times 3}{800} = 6 \, \text{mL}
   \]

So, you will need to administer **6 mL** of Drug M.

Would you like more details or explanations on any step?

Here are 5 related questions to further explore:
1. How would you calculate the dosage if the concentration was different, say 400 mg per 3 mL?
2. What if the required dose was 2 g instead of 1.6 g, how would the calculation change?
3. How do you calculate dosage if you need to give a fraction of a drug, like 0.5 g?
4. How can you convert between different units like mg, g, and mL in general?
5. What are some ways to measure milliliters accurately when administering medicine?

**Tip**: Always double-check your conversions between units (e.g., mg to g) to avoid dosage errors.

drug m is supplied 800 mg per 3 ml. you need to administer 1.6 g of drug m. how many milliliters will you give using a medicine cup?

Learn how to calculate the required milliliters of Drug M when supplied at 800 mg per 3 mL, and the prescribed dose is 1.6 g. This step-by-step solution explains key concepts like proportions and unit conversions, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation