posted by Denise on .
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)?
(b) How many students do not own either a car or an iPod?
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