• Of the students in the volleyball club, 75% are not in the soccer chub.

Question

• Of the students not in the volleyball club, 50% are in the soccer club.

Based on the data, how many total eighth grade students complete a survey?
• 32 eighth grade students
• : 68 eighth grade students
114 eignth grade students
171 eighth grade students

Answer 1

Let's denote the total number of eighth grade students as X.

From the first statement, 75% of X are not in the soccer club. Therefore, 25% of X are in the soccer club.

From the second statement, 50% of (100% - 25%) = 50% of 75% of X are in the soccer club.

This means that the total number of eighth grade students in the soccer club is 0.5 * 0.75 * X = 0.375X

Now, the total number of eighth grade students in the volleyball club is 0.25X

Adding these two, we get:
0.375X + 0.25X = X

So, the total number of eighth grade students is X.

Therefore, the possible total number of eighth grade students who completed the survey is 171.