Question

Rafael is one of the players on the high-school baseball team.
His father asked him about the number of players in the team. To this, he replied, "Seven of us are outfielders, nine of us are infielders, and the rest are pitchers who make up one-third of the team.”
Find the total number of players in the team.

• A. 16
• B. 21
• C. 19
• D. 24

Answer 1

The correct option is D 24

Let us take the total number of players in the team to be B.

Number of outfielders = 7
Number of infielders = 9
Number of pitchers
$=\frac{1}{3}\times Totalnumberofplayersintheteam$

$=\frac{1}{3}\times B$

So, the total number of players can be written as:
$\Rightarrow 9+7+\frac{1}{3}\times B=B$

$\Rightarrow 16+\frac{1}{3}\times B=B$

$\Rightarrow 16=B–\frac{1}{3}\times B$

$\Rightarrow 16=\frac{2}{3}\times B$

$\Rightarrow \frac{16\times 3}{2}=B$

$\Rightarrow 24=B$

Thus, there are 24 players in the high-school baseball team.