If 2(x-y)=3y, what is the ratio x/y?

Explanation

Start with the equation: 2(x-y) = 3y. Expand the left side to get 2x - 2y = 3y. Next, add 2y to both sides: 2x = 5y. Divide both sides by y to isolate x: x/y = 5/2. Thus, the correct ratio is 5/2, which corresponds to Option C.Other options are incorrect due to errors in algebraic manipulation or misinterpretation of the equation. Option A (2/5) and Option B (4/3) arise from incorrect steps in rearranging and solving. Option D (8/3) results from a miscalculation.