Discrete Math: Games

[coldwater]

Hello,

I have this problem and cannot solve it. Please help.

Fifty students, each with 75 cents, visited an arcade with three different computer games. 17 of the students played each of the three computer games, and 37 of them played at least two of the games. No student played a given game more than once. Each game cost 25 cents to play, and the total proceeds from the student visit were $24.25. How many of these students preferred to watch and played none of the games?

 

[chrisr]

37 played "at least" 2 of the games means what?
They played 2 or 3.
If 17 of the students played all 3 games,
then exactly how many played exactly 2 games?

Knowing that, you may find out how many played only 1 game using the
clue given as to the total amount of money spent.

Then you will know how many watched.

Try it.