10. A survey of flower gardeners showed the following: 87 grew roses 15 grew bot

Question

10. A survey of flower gardeners showed the following:

87 grew roses 15 grew both roses and tulips 8 grew all three types
27 grew tulips 11 grew both orchids and tulips 7 grew none of these three
26 grew orchids 19 grew both roses and orchids

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 orchids?
(b) How many grew both roses and orchids, but not tulips?
(c) How many grew only roses?
(d) How many grew none of these three or only tulips?
(e) How many flower gardeners were surveyed?
(Points : 7)

Explanation / Answer

x = grew roses only y = grew tulips only z = grew orchids only 87 - 15 - 19 + 8 = x = 51 27 - 15 - 11 + 8 = y = 9 26 - 11 - 19 + 8 = z = 2 a.) 2 b.) 11 c.) 51 d.) 16 e.) 96

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