Solve the Problem Using Matrices $4 \%$ Acid by Volume, Another $11 \%$

question 370

Multiple Choice

Solve the problem using matrices.
-A chemist has prepared two acid solutions, one of which is $4 \%$ acid by volume, another $11 \%$ acid. How many cubic centimeters of each should the chemist mix together to obtain $50 \mathrm {~cm} ^ { 3 }$ of a solution that is $6.24 \%$ acid.

• A) No solution
• B) \(20 \mathrm {~cm} ^ { 3 }\) of \(4 \% ; 20 \mathrm {~cm} ^ { 3 }\) of \(11 \%\)
• C) \(34 \mathrm {~cm} ^ { 3 }\) of \(4 \% ; 16 \mathrm {~cm} ^ { 3 }\) of \(11 \%\)
• D) \(3.12 \mathrm {~cm} ^ { 3 }\) of \(4 \% ; 46.88 \mathrm {~cm} ^ { 3 }\) of \(11 \%\)

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