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

question 342

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 $8.24 \%$ acid.

• A) No solution
• B) \(4.12 \mathrm {~cm} ^ { 3 }\) of \(6 \% ; 45.88 \mathrm {~cm} ^ { 3 }\) of \(10 \%\)
• C) \(50 \mathrm {~cm} ^ { 3 }\) of \(6 \% ; 50 \mathrm {~cm} ^ { 3 }\) of \(10 \%\)
• D) \(22 \mathrm {~cm} ^ { 3 }\) of \(6 \% ; 28 \mathrm {~cm} ^ { 3 }\) of \(10 \%\)

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