Alyssa's team won 5 out of every 7 games this season. If the team played 28 games this season, how many games did they win?

Alyssa's team won 20 games.

Step-by-step explanation:

We can introduce a variable that represents how many games Alyssa's team won.

Let x represent how many games Alyssa's team won.

We can now create a expression, we know that her team won 5 out of 7 games which would be equivalent to the fraction 5/7. We also know her team has played 28 games and five sevenths (5/7) of those they won.

This would give us the expression 5/7 = x/28.

We need to do this because 5/7 is equivalent to x the numbers of games they won over 28 the number of games they played.

Solving for 5/7 = x/28 we have:

5/7 = x/28

We need to isolate x on the right side to do so we can multiply both sides by 28.

5/7 * 28 = x/28*28 simplifying

20 = x.

Therefore the number of games Alyssa's team won is 20 games.