Question

1. Jamie is the starting pitcher for his baseball team. The coach recorded the number of pitches he threw in one game. Each pitch is either a ball, strike or hit.

(a) The coach recorded that 54 pitches, or 60%, were strikes. What is the total number of pitches that Jaime threw in this game? (3 pts – 2 for answer, 1 for showing work)
(b) If 60% of the pitches were strikes and 10% of the pitches were balls, how many hits did the pitcher throw? (3 pts – 2 for answer, 1 for showing work)
(c) What is the number of pitches that were either a ball or a strike? (3 pts – 2 for answer, 1 for showing work.)
Please answer quick!

Answer 1

a) 90 pitches total

b) 27 hits

c) 63 pitches (either ball or strike)

Explanation:

Every pitch is:

BALL, STRIKE, HIT

(one of the 3)

a)

Given, 60% of total pitches were strikes, that is 54 of them. So we can say:

54 is 60% of total

Let total be "t", so we can write:

54 = 60% * t

Solving for "t":

`54=0.6*t\\t=90`

Hence, total 90 pitches

b)

60% = strikes

10% = balls

Remaining = 60 + 10 = 70

100 - 70 = 30%

So, 30% of total were hits.

30% of 90

0.3 * 90

27 hits

c)

We know 10% were balls, so

0.10 * 90 = 9 balls

We know 54 were strikes

So, either ball or strike = 9 + 54 = 63

63 pitches (either ball or strike)