SOLUTION: Hello Can Someone please help me with the problem, I am confused. I did try to work it as you can see, but I am not sure my answer. A survey of vegetable gardeners showed the fo

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Question 293095: Hello Can Someone please help me with the problem, I am confused. I did try to work it as you can see, but I am not sure my answer.
A survey of vegetable gardeners showed the following:
63 grew tomatoes 18 grew both tomatoes and cucumbers
26 grew cucumbers 22 grew both tomatoes and zucchini
38 grew zucchini 19 grew both cucumbers and zucchini
14 grew all three types 18 grew none of these three
Create a Venn diagram to reflect the above data, label your diagram clearly and submit to the Week 2, assignment 3 dropbox. Use your diagram to answer the following questions here.
(a) How many grew only zucchini? 38 ANSWER
(b) How many grew both cucumbers and zucchini, but not tomatoes?
= 26 -19 + 38 =45 ANSWER
(c) How many grew only cucumbers? 26 ANSWER
(d) How many grew none of these three or only tomatoes? 63 I am stuck here.
(e) How many vegetable gardeners were surveyed?
Please help me.
Thank you

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
None of the answers are the numbers given in the problem.
38 grew zucchini but some of them also grew other crops.
a)Only 11 grew only zucchini
b)5 grew cukes and zukes but not tomatoes
c)3 grew only cucumbers
d) 37 grew only tomatoes and 18 grew none of these three
so 37+18=55
e) 100 gardeners were surveyed