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

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 $10 \%$