Math Problem Statement
- 70% of a school’s chess club members participated in a tournament. If 14 members attended, how many students are in the chess club?
Solution
Let 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:
To solve for , divide both sides by 0.7:
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:
- If 80% of the chess club members attended, how many would that be?
- If the total number of members increased by 10%, how many members would the club have?
- What would be the percentage if only 10 members attended the tournament?
- How many members would be needed in the club for 14 to represent 50% attendance?
- 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.
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Math Problem Analysis
Mathematical Concepts
Algebra
Percentages
Proportion
Formulas
Percentage formula: Part = Percent × Whole
Theorems
-
Suitable Grade Level
Grades 6-8
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