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PERCENT OF FEMALE FACULTY AND PERCENT OF MALE FACULTY

游客2024-01-12  51
问题         PERCENT OF FEMALE FACULTY AND PERCENT OF MALE FACULTY
                        AT UNIVERSITY X, BY FIELD
                            Total female faculty: 200
                             Total male faculty: 250
[br] Hard Question
For the biological sciences and health sciences faculty combined, 1/3 of the female and 2/9 of the male faculty members are tenured professors. What fraction of all the faculty members in those two fields combined are tenured professors?
选项
答案 24/87
解析 You need to determine the number of female faculty and the number of male faculty in the combined group. According to the graph, 5 percent of the female faculty, or 10, and 10 percent of the male faculty, or 25, are in the biological sciences. Similarly, 16 percent of the female faculty, or 32, and 8 percent of the male faculty, or 20, are in the health sciences. When you combine the groups, you get a total of 42 females(10 + 32)and 45 males(25 + 20), which is a total of 87 faculty. The tenured facuhy are 1/3 of the 42 females, or 14 females, and 2/9 of the 45 males, or 10 males. Thus, there are 24 tenured faculty, and the fraction that are tenured professors is 24/87 . The correct answer is 24/87(or any equivalent fraction).
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