OG详解-OG4 数学2 Q15

Choice A is correct. It’s given that a radio show stated that 3 times as many people voted in favor of the proposal as people who voted against it. Let x represent the number of people who voted against the proposal. It follows that 3x is the number of people who voted in favor of the proposal and 3x - x, or 2x, is how many more people voted in favor of the proposal than voted against it. It’s also given that a social media post reported that 15,000 more people voted in favor of the proposal than voted against it. Thus, 2x =15,000. Since 2x =15,000, the value of x must be half of 15,000, or 7,500. Therefore, 7,500 people voted against the proposal.
Choice B is incorrect. This is how many more people voted in favor of the proposal than voted against it, not the number of people who voted against the proposal. Choice C is incorrect. This is the number of people who voted in favor of the proposal, not the number of people who voted against the proposal. Choice D is incorrect and may result from conceptual or calculation errors.