Question

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?

Answer 1

This is study hall? Times have changed.

Answer 2

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?

Answer 3

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

You can answer each question by counting.

Answer 4

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

Answer 5

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