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According to a survey of 200 students at a community college, 75 are 26 Mar 2018, 00:14
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15% (low)

Question Stats:

85% (01:40) correct 15% (02:04) wrong based on 164 sessions

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According to a survey of 200 students at a community college, 75 are enrolled in a science course and 52 are enrolled in a sociology course. Of those surveyed, 34 are enrolled in a science course, but not in a sociology course. How many students are enrolled in neither a science course nor a sociology course?

(A) 114
(B) 107
(C) 93
(D) 86
(E) 73
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According to a survey of 200 students at a community college, 75 are 26 Mar 2018, 00:18
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Bunuel
According to a survey of 200 students at a community college, 75 are enrolled in a science course and 52 are enrolled in a sociology course. Of those surveyed, 34 are enrolled in a science course, but not in a sociology course. How many students are enrolled in neither a science course nor a sociology course?

(A) 114
(B) 107
(C) 93
(D) 86
(E) 73
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According to a survey of 200 students at a community college, 75 are 28 Mar 2018, 04:40
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Bunuel
According to a survey of 200 students at a community college, 75 are enrolled in a science course and 52 are enrolled in a sociology course. Of those surveyed, 34 are enrolled in a science course, but not in a sociology course. How many students are enrolled in neither a science course nor a sociology course?

(A) 114
(B) 107
(C) 93
(D) 86
(E) 73
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Give Kudos if it helps.

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According to a survey of 200 students at a community college, 75 are 28 Mar 2018, 10:35
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Bunuel
According to a survey of 200 students at a community college, 75 are enrolled in a science course and 52 are enrolled in a sociology course. Of those surveyed, 34 are enrolled in a science course, but not in a sociology course. How many students are enrolled in neither a science course nor a sociology course?

(A) 114
(B) 107
(C) 93
(D) 86
(E) 73
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We can use the equation:

Total = science + sociology - both + neither

200 = 75 + 52 - both + neither

Since 34 are enrolled in a science course but not in a sociology course, 75 - 34 = 41 students are enrolled in both courses.

So we have:

200 = 75 + 52 - 41 + n

200 = 86 + n

114 = n

Answer: A
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According to a survey of 200 students at a community college, 75 are 19 Oct 2022, 04:59
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