Question
The Stomping Elephants volleyball team plays 30 matches in a week-long tournament. On average, they win 4 out of every 6 matches. What is the mean for the number of matches that they win in the tournament?

Select the correct answer below:
$\frac{4}{6}$
4
20
30

Step 1 ：The problem is asking for the mean number of matches that the Stomping Elephants volleyball team wins in a week-long tournament. Given that they win 4 out of every 6 matches, we can set up a ratio to find out how many matches they win out of 30.

Step 2 ：The ratio is 4 wins : 6 total matches. We can set this equal to x wins : 30 total matches and solve for x. So, \(\frac{4}{6} = \frac{x}{30}\).

Step 3 ：To solve for x, we cross-multiply: \(6x = 4*30\)

Step 4 ：\(6x = 120\)

Step 5 ：Solving for x, we get \(x = \frac{120}{6}\)

Step 6 ：\(x = 20\)

Step 7 ：So, the mean number of matches that the Stomping Elephants volleyball team wins in a week-long tournament is 20.

Step 8 ：Therefore, the correct answer is \(\boxed{20}\)