You have a 5% dextrose solution. How many ml will give you 55g of dextrose?

Study for the Pharmacy Technician Certification Board Math Exam. Prepare with flashcards and multiple choice questions, each question includes hints and explanations. Excel in your exam!

To determine how many milliliters of a 5% dextrose solution are needed to obtain 55 grams of dextrose, it’s essential to understand what a 5% solution means. A 5% solution indicates that there are 5 grams of dextrose present in every 100 milliliters of solution.

To find out how many milliliters would contain 55 grams of dextrose, you can set up a proportion based on the concentration of the solution. The setup can be expressed mathematically as follows:

5 grams of dextrose / 100 mL of solution = 55 grams of dextrose / X mL of solution

Cross-multiplying gives:

5X = 55 * 100

This simplifies to:

5X = 5500

To isolate X, divide both sides by 5:

X = 5500 / 5

X = 1100 mL

Therefore, you will need 1100 mL of the 5% dextrose solution to obtain 55 grams of dextrose. This is why the correct answer is indeed 1100 mL.

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