SOLUTION
The total games pitched is 40
Let number of games he win be y.
Then the ratio of the game win to the total game is
[tex]\frac{y}{40}[/tex]
The percentage of game won by the pitcher is
[tex]85\text{ \%}[/tex]
Then, the ratio of this percentage will be
[tex]\frac{85}{100}[/tex]
Equate both ratio we have
[tex]\frac{y}{40}=\frac{85}{100}[/tex]
Take cross product of the equation above
[tex]\begin{gathered} 100y=85\times40 \\ 100y=3400 \end{gathered}[/tex]
Divide both sides of the equation by 100.
[tex]\begin{gathered} \frac{100y}{100}=\frac{3400}{100} \\ \text{Then} \\ y=34 \end{gathered}[/tex]
Therefore, the Baseball picher won 34 of the games he pitched.
Answer is 34
