Problema 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 zucchini
54 grew zucchini 27 grew both cucumbers and zucchini
23 grew all three types 17 grew none of these three
Create a Venn diagram to reflect the above data, label your diagram clearly and Use your diagram to answer the following questions here.
(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 provided by our tutors
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 these three
Create a Venn diagram to reflect the above data, label your diagram clearly and Use your diagram to answer the following questions here.
(a) How many grew only tomatoes? A: 114-34-18=62
(b) How many grew both tomatoes and zucchini, but not cucumbers? A: 41-23=18
(c) How many grew only zucchini? A: 54-41-4=9
(d) How many grew none of these three or only cucumbers? A: 17+6=23
(e) How many vegetable gardeners were surveyed? A: 114+6+4+9+17=150