Reese Draw

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Posted by admin | Posted in Parts And Stuff | Posted on 06-09-2010

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Reese Draw

Reese Draw
venn diagram help! easy 10pts?

college students were asked what brand of chocolate they like. out of the 60 people asked, 32 said that they like hersheys kisses. while 28 crave for mnms. there are 10 college students who like both hersheys and reese's. 15 of those asked said that they do not like either mnms or reeses. 2 respondents do not eat any of them, while 34 do not like reeses. if there are 8 of them who like eating all of them, then how many enjoy eating reese's only? draw a venn diagram summarizing the data by indicating the cardinality of each region.

please send this to my email janrap_delapaz@yahoo.com

winner gets 11 points please thanks!

The relationship among all of the responses can be expressed:

Total = H + M + R - (H ^ M) - (H ^ R) - (M ^ R) + (H ^ M ^ R) + Z
H = like Hershey's kisses
M = like M&Ms
R = like Reese's
H ^ M = like Hershey's and M&Ms
(etc.)
Z = don't like any of the chocolate

People who like only Reese's:
x = R - (M ^ R) - (H ^ R) + (H ^ M ^ R)

Here's what we know and don't know so far:
Total = 60
H = 32
M = 28
R = ?
H ^ M = ? (but we won't need this one to answer the question)
H ^ R = 10
M ^ R = ?
H ^ M ^ R = 2
Z = 2

We know ~R = 34, so
R = Total - (~R)
R = 60 - 34
R = 26

We know ~(M v R) = 15, so
M v R = Total - (~(M v R))
M v R = 60 - 15
M v R = 45

And
M v R = M + R - (M ^ R)
45 = 28 + 26 - (M ^ R)
M ^ R = 9

People who like only Reese's:
x = R - (M ^ R) - (H ^ R) + (H ^ M ^ R)
x = 26 - 9 - 10 + 8
x = 15

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