SAT Math Multiple Choice Question 836: Answer and Explanation

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Question: 836

11. The mayor of Dunderville proposes a new ordinance that would give a tax credit toparents who homeschool their children. Ten percent of Dunderville's residents approveof the ordinance. Of these, 7 out of 10 are women. All of Dunderville's other residentsare against the ordinance. If there are equal numbers of men and women in Dunderville,then what fraction of Dunderville's male residents approve of the ordinance?

  • A.
  • B.
  • C.
  • D.

Correct Answer: C



Difficulty: Medium

Category: Problem Solving and Data Analysis / Rates, Ratios, Proportions, and Percentages

Strategic Advice: Don't panic when you see a lot of information. Take a deep breath and calmly assess the information one piece at a time.

Getting to the Answer: You're not given an amount for the population of Dunderville, so start by picking one. If Dunderville has 100 people (a nice number to pick whenever a problem involves percents), then according to the question, 50 are men and 50 are women. Furthermore, 10%, or people, approve of the ordinance. The 10 people who approve of the ordinance are not evenly split by gender: 7 are women and 3 are men. Thus, overall, 3 men of the 50 in Dunderville approve the ordinance. The answer is (C).

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