A pitcher needs more than one pitch to be effective. Dizzy uses his changeup only half as much as his fastball, and to save his arm, he throws a slider a third as much as his fastball. In a 110-pitch game, how many sliders would he throw?

Question

Mathematics

Mylie

3 September, 07:30

A pitcher needs more than one pitch to be effective. Dizzy uses his changeup only half as much as his fastball, and to save his arm, he throws a slider a third as much as his fastball. In a 110-pitch game, how many sliders would he throw?

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Answers (1)

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Helena Reyes · Answer 1

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.