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

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 $w = 2l + 7$

A baseball team played 82 games.

This means that:

$w + l = 82$

$2l + 7 + l = 82$

$3l = 75$

$l = \frac{75}{3}$

$l = 25$

And

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

The team lost 25 games and won 57.