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 $6.8 \%$ acid.
A) $3.4 \mathrm {~cm} ^ { 3 }$ of $4 \% ; 46.6 \mathrm {~cm} ^ { 3 }$ of $11 \%$
B) $30 \mathrm {~cm} ^ { 3 }$ of $4 \% ; 20 \mathrm {~cm} ^ { 3 }$ of $11 \%$
C) $20 \mathrm {~cm} ^ { 3 }$ of $4 \% ; 20 \mathrm {~cm} ^ { 3 }$ of $11 \%$
D) No solution

Question

Quizplus · Accepted Answer

To solve this, set up the equations: $0.04x + 0.11y = 0.068 \times 50$ and $x + y = 50$. Solving these gives $x = 30$ and $y = 20$.

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