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

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 $11 \%$