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A survey of 600 nurses yielded the following information: 427 were health club members, 325 were smokers, and 245 of the health club members were smokers. How
many of the 600 surveyed nurses were health club members or were smokers?

Answer :

ABIDEMIOKINGO

The number of surveyed nurses that were health club members or were smokers is 316.

  • Let the total number of nurses be 600 nurses
  • n(U) = 600
  • Let H be health club members, n(H) = 427
  • Let S be smokers, n(S) = 325

If 245 of the health club members were smokers, then n(HnS) = 245 members.

The number of surveyed nurses that were health club members or were smokers = 600 - [(427 - 325) + (427-245)].

The number of surveyed nurses that were health club members or were smokers = 600 - (102+182) = 600 - 284.

The number of surveyed nurses that were health club members or were smokers is 316.

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