Amy K.

asked • 06/21/17

Assuming the given information is​ accurate, determine whether the following statement is true.

If 50% of hotels have a restaurant and 40% have a pool, so 90% have a restaurant and swimming? Want to know if that makes sense. I don't think it does, but don't know how to set it up?

Michael A.

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What if some of the 50% that have a restaurant also have a pool? The problem doesn't say that it's an "either-or" situation, that is a hotel has either a restaurant or a pool, but cannot have both. Therefore, we cannot assume that a total of 90% have a restaurant and swimming.
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06/21/17

Amy K.

Thanks Michael, I thought I had edited it.  Should be or swimming pool.  So, then 90% would make sense? It seemed too easy!
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06/22/17

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Suzy K. answered • 06/21/17

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The statement is false. If 50% of hotels have a restaurant and 40% of those same hotels have a pool, then the 40% would only apply to those 50%. In other words. if we use 200 for the number of hotels, then 100 of them would have restaurants. If 40% of those hotels also have a pool, then only 40 hotels have both a restaurant and a pool.
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Amy K.

Hi Suzy, thank you for your input, but I thought I edited my question so it should have said or.  So, then it does make sense that 90% have a restaurant or swimming pool?  Seemed to easy.
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06/22/17

Suzy K.

Thanks for commenting. That makes more sense now.
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06/22/17

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