<PRE><B>Question 557043</B>
see the attached diagram.
&lt;img src = &quot;http://theo.x10hosting.com/2012/jan143.jpg&quot; alt = &quot;$$$$&quot; /&gt;
answers to your questions are:
(a) 15 grew only strawberries
(b) 9 grew blueberries and strawberries, but not raspberries.
(c) 31 grew only blueberries.
(c) 15 grew none of these 3 and 47 grew only raspberries, so 50 grew only raspberries or none of these.
(d) total number of fruit tree growers surveyed was:
47 + 31 + 15 + 7 + 6 + 18 + 9 + 15 = 148
note that the total number of raspberries growers is:
47 + 18 + 6 + 7 = 78
those are all the number that are within the raspberry circle.
the venn diagram splits them up into separate categories.
the categories are:
those that grow only raspberries.
those that grow only raspberries and blueberries.
those that grow only raspberries and strawberries.
those that grow all 3.
there is no double counting in the venn diagram because the numbers have been split into the applicable categories beforehand.


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