Our baseball team lost 9 games this season. This was 3/8 of all they played. How many games did they play this season?

(3/8)x = 9

x = ?

24

18

34

To find out how many games the baseball team played this season, we need to set up an equation based on the given information.

Let's denote the total number of games they played this season as "x".

According to the question, they lost 9 games, which is 3/8 of all the games they played. This can be expressed as the equation:

9 = (3/8) * x

To solve for x, we can begin by isolating x on one side of the equation. To do this, we can multiply both sides of the equation by 8/3, the reciprocal of 3/8:

(8/3) * 9 = (8/3) * (3/8) * x

24 = x

Therefore, the baseball team played 24 games this season.