A baseball team played 82 games. The team won 7 more than twice as many games as it lost. The equation l+2l+7=82 models this relationship, where l is the number of games lost. How many games did the team lose? How many games did the team win?

Respuesta :

Answer:

The team lost 25 games and won 57.

Step-by-step explanation:

I am going to say what:

w is the number of games won.

As the problem states, l is the number of games lost.

The team won 7 more than twice as many games as it lost.

This means that [tex]w = 2l + 7[/tex]

A baseball team played 82 games.

This means that:

[tex]w + l = 82[/tex]

[tex]2l + 7 + l = 82[/tex]

[tex]3l = 75[/tex]

[tex]l = \frac{75}{3}[/tex]

[tex]l = 25[/tex]

And

[tex]w = 2l + 7 = 2*25 + 7 = 57[/tex]

The team lost 25 games and won 57.