The ratio of dogs to cats at a certain shelter in City $X$ is $2:3$ and the ratio of cats to dogs at a different she

The ratio of dogs to cats at a certain shelter in City $X$ is $2:3$ and the ratio of cats to dogs at a different shelter in City $Y$ is $7:3.$ If there are $300$ more cats and dogs at the shelter in City $Y$ than in City $X,$ and the combined ratio of dogs to cats for the two shelters combined is $8:17,$ how many cats and dogs are at the shelter in City $Y?$

A. 100
B. 300
C. 350
D. 400
E. 450

Answer: D

Source: Veritas Prep

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