Question 433374: 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
Answer by josmiceli(19441)   (Show Source):
You can put this solution on YOUR website! The trick is to find the number in each
separate little area of the 3 interlocking circles
There are 7 of these little areas
The center is the number that grew all 3 types.
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Label the circles T,C, and Z
T = 69
C = 25
Z = 30
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T and C , but not Z = 18 - 12
18 - 12 = 6
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T and Z, but not C = 21 - 12
21 - 12 = 9
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C and Z, but not T = 14 - 12
14 - 12 = 2
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The fact that 12 grew none of T,C, or Z can
be shown by a circle around the Venn diagram
with a 12 in it
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Those who grew:
Only T = 69 - (6 + 9 + 12)
Only T = 42
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Only C = 25 -(6 + 2 + 12)
Only C = 5
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Only Z = 30 -(9 + 2 + 12)
Only Z = 7
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Any question can now be answered, for instance:
How many growers of T,C, & Z are there?
42 + 5 + 7 + 6 + 9 + 2 + 12 = 83
How many grew exactly 2 veggies?
6 + 9 + 2 = 17
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