math

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long question-sorry
I'm a teacher with study hall 1st period & 3 games in my closet-polled the students to see who would play which game. (The problem on my paper gives names, but I'm just giving numbers.) 5 kids said they would play all 3 games. 5 others said they wouldn't play any games. 3 said they would play checkers & backgammon- 2 said they'd play backgammon & chess-1 would play chess & checkers. This gave the teacher 21 students who would play backgammon or chess, 24 who would play checkers or chess, & 26 who would play checkers or backgammon. How many students wanted to play only backgammon?Only checkers?Only chess? How many were in the study hall?

  • math -

    This is study hall? Times have changed.

  • math -

    yeah, they're no longer allowed to sleep - actually, it must be a non-tenured teacher trying to keep the job- either way, the teacher's just trying to survive - can you help?

  • math -

    If you have names, put them on a spreadsheet, names down, games across in columns.

    You can answer each question by counting.

  • math -

    I'd use a venn diagram. Simple, yet effective.

  • math -

    i don't have enough names to make those numbers work, but thanks

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