## 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 eithe

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.)

in progress 0
2 weeks 2021-09-09T11:49:25+00:00 1 Answer 0

a)  90 pitches total

b)  27 hits

c)  63 pitches (either ball or strike)

Step-by-step 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”:

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)