Question

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? How many games did they​ lose?

Answer 1

The team won 92 games and lost 69 games.

Answer 2

Answer:

The team won 69 games.

The team lost 92 games.

Step-by-step 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.

$\frac{\text{Number of games the team won}}{\text{Total number of games}}=\frac{3}{7}$

As they played 161 games, so upon substituting 161 in our above proportion we will get,

$\frac{\text{Number of games the team won}}{161}=\frac{3}{7}$

$\frac{\text{Number of games the team won}}{161}*161=\frac{3}{7}*161$

$\text{Number of games the team won}=3*23$

$\text{Number of games the team won}=69$

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.

$\frac{\text{Number of games the team lost}}{\text{Total number of games}}=\frac{4}{7}$

As they played 161 games, so upon substituting 161 in our above proportion we will get,

$\frac{\text{Number of games the team lost}}{161}=\frac{4}{7}$  

$\frac{\text{Number of games the team lost}}{161}*161=\frac{4}{7}*161$

$\text{Number of games the team lost}=4*23$  

$\text{Number of games the team lost}=92$  

Therefore, the team lost 92 games out of 161 games.