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Another Overlapping set Problem

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Mo2men Legendary Member Default Avatar
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Another Overlapping set Problem

Post Sat Apr 01, 2017 12:19 am
A florist found that 60% of his customers on Valentine's Day bought roses. People had the option that day of buying red roses, yellow roses or orange roses and half of all the people who bought roses bought red roses. Did more than half the customers buy exactly two varieties of rose?

(1) Of the 80 customers the florist had, only those people buying red roses also bought exactly one other type of rose.
(2) Of the 80 customers the florist had, half of the people who bought red roses bought exactly one other type of rose.

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Post Sat Apr 01, 2017 3:18 am
Mo2men wrote:
A florist found that 60% of his customers on Valentine's Day bought roses. People had the option that day of buying red roses, yellow roses or orange roses and half of all the people who bought roses bought red roses. Did more than half the customers buy exactly two varieties of rose?

(1) Of the 80 customers the florist had, only those people buying red roses also bought exactly one other type of rose.
(2) Of the 80 customers the florist had, half of the people who bought red roses bought exactly one other type of rose.
Statement 1 seems to indicate that ALL of the people buying red roses bought exactly one other type of rose.
Statement 2 indicates that only HALF of the people buying red roses bought exactly one other type of rose.
Since the two statements contradict each other, the problem seems flawed.

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