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 $8.24 \%$ 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 $10 \%$