SOLUTION: A survey of vegetable gardeners showed the following: 114 grew tomatoes 34 grew both tomatoes and cucumbers 44 grew cucumbers 41 grew both tomatoes and zucchi

Question 473580: A survey of vegetable gardeners showed the following:
114 grew tomatoes 34 grew both tomatoes and cucumbers
44 grew cucumbers 41 grew both tomatoes and zucchini
54 grew zucchini 27 grew both cucumbers and zucchini
23 grew all three types 17 grew none of the three types.
Create a VENN Diagram to reflect the above data,label the diagram clearly and answer the following questions in the diagram.
(a) How many grew only tomatoes?
(b) How many grew both tomatoes and zucchini, but not cucumbers?
(c) How many grew only zucchini?
(d) How many grew none of these three or only cucumbers?
(e) How many vegetable gardeners were surveyed?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi,previously posted

Proceed by placing the "all three" of 23

then: 34-23=11  41-23 = 18   27-23 = 4

then: 114 -11-23-18=62, 44-11-23-4=6 and 54-18-23-4=9 to complete



(a) How many grew only tomatoes? 62

(b) How many grew both tomatoes and zucchini, but not cucumbers? 18

(c) How many grew only zucchini? 9

(d) How many grew none of these three or only cucumbers? 17+6 = 23

(e) How many vegetable gardeners were surveyed? 114 + 6 + 4 + 9 + 17 = 150

 

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