A basketball team won 16 games, or 4 less than

2/3 of the games they played. Find the number of games they played.

2/3x = 20

x = 20 / (2/3)

x = 20 * (3/2)

x = 60/2 = 30

To find the number of games the basketball team played, we need to set up an equation based on the given information.

Let's assume the number of games they played is represented by "x".

According to the information given, the team won 16 games, which is equivalent to 2/3 of the total number of games minus 4.

We can set up the equation as follows:

16 = (2/3)x - 4

To solve for "x," we will isolate the variable on one side of the equation.

Adding 4 to both sides of the equation:

16 + 4 = (2/3)x

20 = (2/3)x

Now, to get rid of the fraction (2/3), we can multiply both sides of the equation by its reciprocal, 3/2.

20 * (3/2) = (2/3)x * (3/2)

30 = x

Therefore, the basketball team played a total of 30 games.