Question
If a medication contains 3.5 mg of a drug in 5 mL solution, how many milligrams are in 13 mL ? Round to two decimal places
Ask by Mann Summers. in Canada
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
There are 9.10 milligrams in 13 mL of the solution.
Solution
1. The medication has a concentration of
\[
\frac{3.5\text{ mg}}{5\text{ mL}}.
\]
2. Let \( x \) be the amount in milligrams in 13 mL of the solution. We can set up a proportion:
\[
\frac{3.5}{5} = \frac{x}{13}.
\]
3. Solve for \( x \) by cross-multiplying:
\[
5x = 3.5 \times 13.
\]
4. Calculate the multiplication on the right:
\[
3.5 \times 13 = 45.5.
\]
So,
\[
5x = 45.5.
\]
5. Divide both sides by 5 to solve for \( x \):
\[
x = \frac{45.5}{5} = 9.1.
\]
6. Rounding to two decimal places (if necessary), the final answer is:
\[
x = 9.10\text{ mg}.
\]
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Mind Expander
To find the amount of drug in 13 mL, you can set up a proportion based on the concentration. Since there are 3.5 mg in 5 mL, the concentration is 3.5 mg/5 mL = 0.7 mg/mL. So, in 13 mL, the amount of drug would be 0.7 mg/mL x 13 mL = 9.1 mg. Rounded to two decimal places, there are 9.10 mg of the drug in 13 mL of the solution.
