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21 May 2024, 01:42
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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Question Stats:
66% (03:24) correct
33% (00:10) wrong based on 3 sessions
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For the biological sciences and health sciences faculty combined, 1/3 of the adjunct faculty and 2/9 of the non-adjunct faculty are medical doctors. What fraction of all the faculty in those two fields combined are medical doctors?
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28 Jul 2024, 11:33
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Official Explanation
You need to determine the number of adjunct faculty and the number of nonadjunct faculty in the combined group. According to the graph, 5 percent of the adjunct faculty, or 10, and 10 percent of the non-adjunct faculty, or 25, are in the biological sciences. Similarly, 16 percent of the adjunct faculty, or 32, and 8 percent of the non-adjunct faculty, or 20, are in the health sciences. When you combine the groups, you get a total of 42 adjunct faculty (10 + 32) and 45 nonadjacent faculty (25 + 20), which is a total of 87 faculty. Medical doctors are 1/3 of the 42 adjunct faculty, or 14 adjuncts, and 2/9 of the 45 non-adjunct faculty, or 10 non-adjuncts. Thus, there are 24 medical doctors, and the fraction that are medical doctors is 24/87. The correct answer is (or any equivalent fraction).
You need to determine the number of adjunct faculty and the number of nonadjunct faculty in the combined group. According to the graph, 5 percent of the adjunct faculty, or 10, and 10 percent of the non-adjunct faculty, or 25, are in the biological sciences. Similarly, 16 percent of the adjunct faculty, or 32, and 8 percent of the non-adjunct faculty, or 20, are in the health sciences. When you combine the groups, you get a total of 42 adjunct faculty (10 + 32) and 45 nonadjacent faculty (25 + 20), which is a total of 87 faculty. Medical doctors are 1/3 of the 42 adjunct faculty, or 14 adjuncts, and 2/9 of the 45 non-adjunct faculty, or 10 non-adjuncts. Thus, there are 24 medical doctors, and the fraction that are medical doctors is 24/87. The correct answer is (or any equivalent fraction).
