SOLUTION: A survey of vegetable gardeners showed the following: 69 grew tomatoes 18 grew both tomatoes and cucumbers 25 grew cucumbers 21 grew both tomatoes and zucchini

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Question 482529: A survey of vegetable gardeners showed the following:

69 grew tomatoes 18 grew both tomatoes and cucumbers
25 grew cucumbers 21 grew both tomatoes and zucchini
30 grew zucchini 14 grew both cucumbers and zucchini
12 grew all three types 12 grew none of these three


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

(a) How many grew only cucumbers?
(b) How many grew both cucumbers and tomatoes, but not zucchini?
(c) How many grew only tomatoes?
(d) How many grew none of these three or only zucchini?
(e) How many vegetable gardeners were surveyed?
(Points : 7)

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Place the "all three" of 12
then: 18-12=6 21-12 = 9 17-12 = 5
then: 69 -6-12-9=42, 25-6-12-2=6 and 30-9-12-2=7 to complete

(a) How many grew only tomatoes? 42
(b) How many grew both tomatoes and zucchini, but not cucumbers? 9
(c) How many grew only zucchini? 7
(d) How many grew none of these three or only cucumbers? 12+5 = 17
(e) How many vegetable gardeners were surveyed? 42+12+6+9+5+2+7+12 = 95
m.ananth@hotmail.ca