Mathematics

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?

2 Answer

  • The team won 92 games and lost 69 games.
  • 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.

    [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.

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