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Question

Of 650 cities surveyed, each city had an art museum, or a nature museum, or both. Of the 320 cities that had art museums, 14 also had nature museums. What is the total number of cities surveyed that had nature museums?

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Solution

Total number of cities are 650.
Number of cities that had art museum are 320.
number of cities that had only nature museums =650320=330
Number of cities that had both art and nature museums are 14×320=80.
Therefore the number of cities that had nature museums are 330+80=410.

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