SAT Math Multiple Choice Question 862: Answer and Explanation

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Question: 862

2015 Unemployment Rates (as a Percent)
By Age and Genderfan.Feb.Mar.Apr.
Men, 16+years5.
Women, 16+years5.
Total, 16+years5.

7. Unemployment rates in the U.S. for the first four months of 2015 are given in thetable above. These rates are based on people, 16 years and older, that are consideredto be part of the workforce. In a certain district, there are 12,800 people eligibleto be part of the workforce, of which 53.5% are men. Based on the information in thetable, how many more men in this district were unemployed than women in April 2015in this district?

  • A. 13
  • B. 56
  • C. 90
  • D. 896

Correct Answer: B



Difficulty: Medium

Category: Problem Solving and Data Analysis / Statistics and Probability

Strategic Advice: Whenever information is presented in a table, be sure to read the column and row headers carefully and only use the information that applies to the question.

Getting to the Answer: Before you can apply percentages from the table, you need to determine how many men and how many women there were in the workforce in the district. The number of men was 53.5% of 12,800, or 0.535 × 12,800 = 6,848, and the number of women was 12,800 - 6,848 = 5,952. Now, use the information from the table for April:

Men: 5.5% of 6,848 = 0.055 × 6,848 = 376.64, or about 377 unemployed men

Women: 5.4% of 5,952 = 0.054 × 5,952 = 321.408, or about 321 unemployed women

This means there were 377 - 321 = 56 more unemployed men than women in the district in April. Choice (B) is correct.

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