Question

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?

Answer 1

The team lost 25 games and won 57.

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
`w = 2l + 7`

A baseball team played 82 games.

This means that:

`w + l = 82`

`2l + 7 + l = 82`

`3l = 75`

`l = (75)/(3)`

`l = 25`

And

`w = 2l + 7 = 2*25 + 7 = 57`

The team lost 25 games and won 57.