Question 190975
I am stuck on my homework assignment, can someone show me how this is completed? I really appreciate it!
A drug company is considering manufacturing a new product that has two different flavors, orange and cherry. They surveyed 150 people. The results are as follows: 
75 liked cherry flavor
94 liked orange flavor
22 liked both flavors. 
Construct a Venn diagram and answer the following: 
a) How many liked only orange flavor? 
b) How many liked only cherry flavor? 
c) How many liked either one or the other or both?
d) How many liked neither?
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Draw two intersecting circles; label one cherry and the other orange.
Draw a rectangle around the two intersecting circles.
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put a 22 in the intersection;that is the group that likes both cherry and orange
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Put 75-22 = 53 in the piece of the cherry circle that is not the intersection.
Put 94-22 = 72 in the piece of the orange circle that is not the intersection.
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That places 72+53+22 = 147 of the people.
That leaves 150-147 = 3 in the rectangle but not in either circle.
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Construct a Venn diagram and answer the following: 
a) How many liked only orange flavor? 72 
b) How many liked only cherry flavor? 53
c) How many liked either one or the other or both? 147
d) How many liked neither? 3

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Cheers,
Stan H.