SOLUTION: a survey of of 150 people indicated that 80people would buy new shoes in the folllowing year, 95 people would buy a snappy hat, and that 32people would buy neither. a) how many pe

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: a survey of of 150 people indicated that 80people would buy new shoes in the folllowing year, 95 people would buy a snappy hat, and that 32people would buy neither. a) how many pe      Log On

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 Question 391916: a survey of of 150 people indicated that 80people would buy new shoes in the folllowing year, 95 people would buy a snappy hat, and that 32people would buy neither. a) how many people would buy both new shoes and a snappy hat this year? b) how many people would buy new shoes or a snappy hat this year?Answer by robertb(4012)   (Show Source): You can put this solution on YOUR website!Let n = # of people who would buy BOTH new shoes AND a snappy hat this year. Then 150 = 32 + (80 - n) + n + (95 - n) ==> 150 = 207 - n ==> -57 = -n ==> n = 57. Number of people who would buy new shoes OR a snappy hat this year = 150 - 32 = 118.