P, Q, and R are each mixtures of red and white paint. The percentage by volume of red paint in P is $30 \%$. The percentage by volume of red paint in Q is 20\%. The mixtures P, Q, and R are combined in the proportion $12 : 5 : 3$ respectively. If the resulting mixture contains $25 \%$ by volume of red paint, what percentage by volume of mixture $R$ is red paint? A $25 \%$ B 23\% C $13 \frac { 1 } { 3 } \%$ D $19 \frac { 1 } { 2 } \%$ E $9 \frac { 3 } { 4 } \%$ F It is impossible to achieve this result.
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P, Q, and R are each mixtures of red and white paint.
The percentage by volume of red paint in P is $30 \%$.
The percentage by volume of red paint in Q is 20\%.
The mixtures P, Q, and R are combined in the proportion $12 : 5 : 3$ respectively.
If the resulting mixture contains $25 \%$ by volume of red paint, what percentage by volume of mixture $R$ is red paint?
A $25 \%$
B 23\%
C $13 \frac { 1 } { 3 } \%$
D $19 \frac { 1 } { 2 } \%$
E $9 \frac { 3 } { 4 } \%$
F It is impossible to achieve this result.