SOLUTION: Can I please get help with this Venn Diagram? A survey of fruit tree growers showed the following: 47 grew raspberries 18 grew both raspberries and blueberries 31 grew b

Question 557043: Can I please get help with this Venn Diagram?
A survey of fruit tree growers showed the following:

47 grew raspberries 18 grew both raspberries and blueberries
31 grew blueberries 7 grew both raspberries and strawberries
15 grew strawberries 9 grew both blueberries and strawberries
6 grew all three types 15 grew none of these three

Create a Venn diagram to reflect the above data, label your diagram clearly. Use your diagram to answer the following questions here.

(a) How many grew only strawberries?
(b) How many grew both blueberries and strawberries, but not raspberries?
(c) How many grew only blueberries?
(d) How many grew none of these three or only raspberries?
(e) How many fruit tree growers were surveyed?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
see the attached diagram.
$$$$

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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