7. 70% of a school’s chess club members participated in a tournament. If 14 members attended, how many students are in the chess club?

Let \( x \) represent the total number of members in the chess club. We know that 70% of the members attended the tournament, and 14 members represent that 70%.

So, we can set up the equation:

\[
0.7x = 14
\]

To solve for \( x \), divide both sides by 0.7:

\[
x = \frac{14}{0.7} = 20
\]

Therefore, there are **20 students** in the chess club.

Would you like further explanation or have any questions?

Here are five related questions to explore:
1. If 80% of the chess club members attended, how many would that be?
2. If the total number of members increased by 10%, how many members would the club have?
3. What would be the percentage if only 10 members attended the tournament?
4. How many members would be needed in the club for 14 to represent 50% attendance?
5. If the number of members attending increased to 21, what percentage of the club would that represent?

**Tip:** Converting percentages to decimals (e.g., 70% as 0.7) simplifies solving equations involving percentages.

70% of a school’s chess club members participated in a tournament. If 14 members attended, how many students are in the chess club?

Learn how to calculate the total number of students in a chess club when given that 70% attended a tournament and 14 members participated. This solution walks through algebraic and percentage calculations, suitable for Grades 6-8.

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