SOLUTION: A mall has 3 department stores, JC Penny's, Macy's, and Sears. A survey of 2,631 people exiting the mall found that 432 made a purchase at JC Penny's, 291 made a purchase at Macy's

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Question 645487: A mall has 3 department stores, JC Penny's, Macy's, and Sears. A survey of 2,631 people exiting the mall found that 432 made a purchase at JC Penny's, 291 made a purchase at Macy's, 517 made a purchase at Sears, 83 made a purchase at JC Penny's and Macy's, 207 made a purchase at JC Penny and Sears, 126 of them made a purchase at Macy's and Sears, and 45 of them made a purchase at all 3 stores.
A. How many people made a purchase at JC Penney but did not make a purchase at Sears?
B. How many people made a purchase at exactly one of the three stores?
Thanks so much.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A mall has 3 department stores, JC Penny's, Macy's, and Sears.
A survey of 2,631 people exiting the mall found that
432 made a purchase at JC Penny's,
291 made a purchase at Macy's,
517 made a purchase at Sears,
83 made a purchase at JC Penny's and Macy's,
207 made a purchase at JC Penny and Sears,
126 of them made a purchase at Macy's and Sears,
and 45 of them made a purchase at all 3 stores.
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A. How many people made a purchase at JC Penney but did not make a purchase at Sears?
--------------------
B. How many people made a purchase at exactly one of the three stores?
--------------------
If you construct a Venn Diagram you will be able to answer question a and b.
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Cheers,
Stan H.

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