Question

A pharmacist wishes to mix a solution that is $2 \%$ minoxidil. She has on hand $50 \mathrm{mL}$ of a $1 \%$ solution, and she wishes to add some $4 \%$ solution to it to obtain the desired $2 \%$ solution. How much $4 \%$ solution should she add? (IMAGE CANT COPY)

Name: Problem 20, Chapter 2: Beginning Algebra
Uploaded: 2020-06-20T17:34:01-08:00
Duration: 1 min 21 s
Channel: Deborah Ferry
Description: A pharmacist wishes to mix a solution that is 2 % minoxidil. She has on hand 50 mL of a 1 % solution, and she wishes to add some 4 % solution to it to obtain the desired 2 % solution. How much 4 % solution should she add? (IMAGE CANT COPY)

   A pharmacist wishes to mix a solution that is $2 \%$ minoxidil. She has on hand $50 \mathrm{mL}$ of a $1 \%$ solution, and she wishes to add some $4 \%$ solution to it to obtain the desired $2 \%$ solution. How much $4 \%$ solution should she add?
(IMAGE CANT COPY)

Beginning Algebra

Margaret L. Lial,… 11th Edition

Chapter 2, Problem 20

Instant Answer

Solved by Expert Deborah Ferry

06/20/2020

Step 1

We know that the amount of minoxidil in the final solution is the sum of the amount of minoxidil in the initial solutions. The amount of minoxidil in a solution is given by the volume of the solution times the concentration of minoxidil in the solution. Let's Show more…

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A pharmacist wishes to mix a solution that is $2 \%$ minoxidil. She has on hand $50 \mathrm{mL}$ of a $1 \%$ solution, and she wishes to add some $4 \%$ solution to it to obtain the desired $2 \%$ solution. How much $4 \%$ solution should she add? (IMAGE CANT COPY)

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Key Concepts

Percentage Concentration

Percentage concentration is a way to express the proportion of a component relative to the entire solution, usually by weight or volume. It is essential for determining how much of a substance is present in a solution and for ensuring that mixtures meet desired specifications.

Weighted Averages

Weighted averages are used in mixing problems to calculate the overall concentration of a solution, taking into account the different volumes and concentrations of the individual components. This concept helps in setting up the balance between the contributions of each solution to achieve a target concentration.

Mixture Problems

Mixture problems involve combining solutions or substances of different concentrations to achieve a desired concentration in the final mixture. They require setting up an equation where the total amount of the substance from all components equals the amount in the final mixture, making them a classic application of algebra.

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