Hello swerve.

We have 12 cans of soda cost x $, that is to say, $$12\cdot s=x\ dollars\ \leftrightarrow\ s=\frac{x\ }{12}dollars.$$ Now, y cans of soda will cost $$y\cdot s=y\cdot\frac{x}{12}dollars\ \leftrightarrow\ y\cdot s=\frac{xy}{12}dollars.$$ Now, we have to convert this to cents.

Using that 1$ =100cents we will get $$\frac{xy\ dollars}{12}=\frac{xy\ dollars}{12}\cdot\frac{100\ cents}{1\ dollar}=\frac{25xy}{3}.$$ So, the correct answer is D .

I hope this may help you.

I'm available if you'd like a follow up.

Regards,