A baseball team played 161 regular season games. The ratio of the number of games they won to the number of games they lost was 3/4 How many games did they win
Question
2 Answer

1. User Answers Anonym
The team won 92 games and lost 69 games. 
2. User Answers ApusApus
Answer:
The team won 69 games.
The team lost 92 games.
Stepbystep explanation:
We have been given that the ratio of the number of games a baseball team won to the number of games they lost was 3/4.
This means that out of every 7 (3+4) games they won 3 games and lost 4 games.
So the proportion for winning the game to total games will be 3/7.
[tex]\frac{\text{Number of games the team won}}{\text{Total number of games}}=\frac{3}{7}[/tex]
As they played 161 games, so upon substituting 161 in our above proportion we will get,
[tex]\frac{\text{Number of games the team won}}{161}=\frac{3}{7}[/tex]
[tex]\frac{\text{Number of games the team won}}{161}*161=\frac{3}{7}*161[/tex]
[tex]\text{Number of games the team won}=3*23[/tex]
[tex]\text{Number of games the team won}=69[/tex]
Therefore, the team won 69 games.
Now let us find the number of games the team lost.
The proportion for loosing the game to total games will be 4/7.
[tex]\frac{\text{Number of games the team lost}}{\text{Total number of games}}=\frac{4}{7}[/tex]
As they played 161 games, so upon substituting 161 in our above proportion we will get,
[tex]\frac{\text{Number of games the team lost}}{161}=\frac{4}{7}[/tex]
[tex]\frac{\text{Number of games the team lost}}{161}*161=\frac{4}{7}*161[/tex]
[tex]\text{Number of games the team lost}=4*23[/tex]
[tex]\text{Number of games the team lost}=92[/tex]
Therefore, the team lost 92 games out of 161 games.