OG详解-OG9 数学1 Q26

Choice B is correct. It’s given that 483 out of 803 voters responded that they would vote for Angel Cruz. Therefore, the proportion of voters from the poll who responded they would vote for Angel Cruz is 483803​​. It’s also given that there are a total of 6,424 voters in the election. Therefore, the total number of people who would be expected to vote for Angel Cruz is 6,424(483803​​) or 3,864. Since 3,864 of the 6,424 total voters would be expected to vote for Angel Cruz, it follows that 6,424-3,864, or 2,560 voters would be expected not to vote for Angel Cruz. The difference in the number of votes for and against Angel Cruz is 3,864-2,560, or 1,304 votes. Therefore, if 6,424 people vote in the election, Angel Cruz would be expected to win by 1,304 votes.
Choice A is incorrect. This is the difference in the number of voters from the poll who responded that they would vote for and against Angel Cruz. Choice C is incorrect. This is the total number of people who would be expected to vote for Angel Cruz. Choice D is incorrect. This is the difference between the total number of people who vote in the election and the number of voters from the poll.