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

The team won 69 games.

The team lost 92 games.

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}}=(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}=(3)/(7)`

`\frac{\text{Number of games the team won}}{161}*161=(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}}=(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}=(4)/(7)`

`\frac{\text{Number of games the team lost}}{161}*161=(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.