Question 1049595: In a survey, 674 adults were asked what television programs they had recently watched. The following information was obtained: 228 adults watched neither the Big Game nor the New Movie, and 285 watched the New Movie. If 183 of those who watched the New Movie did not watch the Big Game, how many of the surveyed adults watched the following?
(a) both programs
(b) at least one program
(c) the Big Game
(d) the Big Game but not the New Movie
For this question, my instructor advises that we create Venn Diagrams to map out what goes where, so that we can answer efficiently. So the 183 and 228 are already given, and I know 228 is the universal set, and 183 represents the people who only saw the new movie. I figured out the intersection on my own, which is 102. However, I am having trouble figuring out the B side, which represents the Big Game.
Answer by jorel555(1290)   (Show Source):
You can put this solution on YOUR website! If 674 adults were polled, and 228 watched neither program, then 674-228=446 watched one or the other. Next, 285 watched the New Movie; however, out of those people, 183 did not watch the game, so, 285-183, or 102 people saw the game as well
If 446 people watched one or the other, and 183 DID NOT watch the game, then at least 446-183, or 263 watched the game.
Those people who watched the game ONLY, would be 263-102, or 161 people who watched the game ONLY. ☺☺☺☺
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