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

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 $7.84 \%$ acid.

A) No solution
B) $27 \mathrm {~cm} ^ { 3 }$ of $6 \% ; 23 \mathrm {~cm} ^ { 3 }$ of $10 \%$
C) $3.92 \mathrm {~cm} ^ { 3 }$ of $6 \% ; 46.08 \mathrm {~cm} ^ { 3 }$ of $10 \%$
D) $50 \mathrm {~cm} ^ { 3 }$ of $6 \% ; 50 \mathrm {~cm} ^ { 3 }$ of $10 \%$

Correct Answer:

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