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A baseball team has three different pitchers. Randy allowed 2 runs and pitched 3 innings. Felix allowed 4 runs and pitched 5 innings. Johan allowed 5 runs and pitched 7 innings.
Which pitcher has the lowest number of runs allowed per inning?
Choose 1 answer:
(A) Randy
(B) Felix
(c) Johan

A baseball team has three different pitchers. Randy allowed $2$ runs and pitched $3$ innings. Felix allowed $4$ runs and pitched $5$ innings. Johan allowed $5$ runs and pitched $7$ innings. $\newline$ Which pitcher has the lowest number of runs allowed per inning? $\newline$ Choose $1$ answer: $\newline$ (A) Randy $\newline$ (B) Felix $\newline$ (C) Johan

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Counting principle

Full solution

Q. A baseball team has three different pitchers. Randy allowed

2

runs and pitched

3

innings. Felix allowed

4

runs and pitched

5

innings. Johan allowed

5

runs and pitched

7

innings.

\newline

Which pitcher has the lowest number of runs allowed per inning?

\newline

Choose

1

answer:

\newline

(A) Randy

\newline

(B) Felix

\newline

(C) Johan

Calculate Runs per Inning: To find out which pitcher has the lowest number of runs allowed per inning, we need to calculate the runs allowed per inning for each pitcher. This is done by dividing the number of runs allowed by the number of innings pitched for each pitcher.
Randy's Calculation: For Randy, the calculation is: $\newline$ Runs allowed per inning $= \frac{\text{Number of runs allowed}}{\text{Number of innings pitched}}$ $\newline$ $= \frac{2 \text{ runs}}{3 \text{ innings}}$ $\newline$ $= 0.6667 \text{ runs per inning}$ (rounded to four decimal places for precision)
Felix's Calculation: For Felix, the calculation is: $\newline$ Runs allowed per inning = Number of runs allowed / Number of innings pitched $\newline$ = $\frac{4 \text{ runs}}{5 \text{ innings}}$ $\newline$ = $0.8000$ runs per inning (rounded to four decimal places for precision)
Johan's Calculation: For Johan, the calculation is: $\newline$ Runs allowed per inning = Number of runs allowed / Number of innings pitched $\newline$ = $\frac{5 \text{ runs}}{7 \text{ innings}}$ $\newline$ = $0.7143$ runs per inning (rounded to four decimal places for precision)
Compare Results: Now we compare the runs allowed per inning for each pitcher to determine who has the lowest number: $\newline$ Randy: $0.6667$ runs per inning $\newline$ Felix: $0.8000$ runs per inning $\newline$ Johan: $0.7143$ runs per inning $\newline$ Randy has the lowest runs allowed per inning.

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