PSAT Math Multiple-Choice Question 48: Answer and Explanation

Question: 48

In a political poll, 500 voters were first asked whether they were registered as Democrat, Republican, or Independent. The voters were then asked whether they planned to vote for Candidate A, for Candidate B, or were Undecided. The table below shows the results of the poll.

The number of registered Republicans who plan to vote for Candidate B is what percent greater than the number of registered Democrats who plan to vote for Candidate B?

• A. 14%
• B. 20%
• C. 25%
• D. 28%

Correct Answer: C

Explanation:

C

The question asks for a percent difference between two values. To find the percent change between numbers, use the formula . Read the table carefully to find the values. The question asks about the number of registered Republicans who plan to vote for Candidate B, which is 70, and the number of registered Democrats who plan to vote for Candidate B, which is 56. The question asks what percent greater, which means the original amount will be the smaller number. Put these numbers into the percent change formula to get . The correct answer is (C).