Solve the Problem Using Matrices $6 \%$ Acid by Volume, Another $10 \%$

question 101

Multiple Choice

Solve the problem using matrices.
-A chemist has prepared two acid solutions, one of which is $6 \%$ acid by volume, another $10 \%$ acid. How many cubic centimeters of each should the chemist mix together to obtain $50 \mathrm {~cm} ^ { 3 }$ of a solution that is $8.16 \%$ acid.

• A) \(4.08 \mathrm {~cm} ^ { 3 }\) of \(6 \% ; 45.92 \mathrm {~cm} ^ { 3 }\) of \(10 \%\)
• B) \(23 \mathrm {~cm} ^ { 3 }\) of \(6 \% ; 27 \mathrm {~cm} ^ { 3 }\) of \(10 \%\)
• C) No solution
• D) \(50 \mathrm {~cm} ^ { 3 }\) of \(6 \% ; 50 \mathrm {~cm} ^ { 3 }\) of \(10 \%\)

---

Definitions:

Cutting Edge Sources

The most current and innovative resources or information available in a particular field.

Nonmaterial

Pertaining to aspects of a culture or society that are not physical or tangible, such as beliefs, values, rules, and norms.

Social Change

The alteration over time in societal structures and cultural norms and values, which can result from collective human actions, policies, or natural events.

Loosely Defined Norms

Social rules that are not strictly enforced or are vague in nature, often leading to varied interpretations.