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From a survey of 100 college students, a marketing research company found that 60 students owned iPods, 50 owned cars, and 20 owned both cars and iPods.
(a) How many students owned either a car or an iPod (but not both)?
1 students

(b) How many students do not own either a car or an iPod?
2 students

  • Math -

    Are you supposed to do these with Venn diagrams?
    If so, draw two intersecting circles, name one P the other one C (for pod and car)
    place 20 in the intersection of the two circles
    There are supposed to be 60 in the P circle, but we already have 20 of those accounted for.
    So put 40 in the P circle which does not intersect the other circle
    There are supposed to be 50 in the C circle, but we have already placed 20 of those, so put 30 in the C circle not intersecting with any of the other.

    number of students in the C and P circle , but not in the intersection is
    40 + 30 = 70

    The total I see in both circles is 40 + 20 + 30 = 90
    But 100 students were surveyed, so
    10 students are not in either circle, thus
    10 students do not own a car or Ipod

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