PSAT Math Multiple-Choice Question 573: Answer and Explanation

Question: 573

If women provided 60% of the total votes for the Green, Socialist, and Christian Democrat parties and if males and females each represent 50% of the country's voters, what percent of the Social Democrat vote was from men?

• A. 45%
• B. 49%
• C. 56%
• D. 65%

Correct Answer: D

Explanation:

(D) Women provided 60% of the vote for the 60% of the total votes for the Green, Socialist, and Christian Democrat parties. That means that women provided 0.6 × 0.6 × Total votes = 36%
of the Total votes, not including the Social Democrat votes. Since women make up 50% of the country's voters, 14% of the country's total voters are women who voted for the Social -Democrats since 50 - 36 = 14. That means that 26% of the total population of the country are males who voted for the Social Democrats. To determine the percentage of Social Democrat votes from males, take 26 and divide it by the total percentage of 40 and then convert that value to a percent: