Answer: Dizzy will throw 20 sliders in his 110 pitch game.
To write an equation, let x be the number of fastballs that he throws.
Therefore, the number of change-ups will be x/2 and the number of sliders will be x/3.
Now, add the equations together to get:
x/2 + x + x/3 = 110
Multiply the equation and solve to get:
3x + 6x + 2x = 660
11x = 660
x = 60
The number of fastballs is 60, dividing that by 3 gives us 20 sliders.