Question:

A 2100 member team consisting of Team Leaders and Athletes is attending a National Athletic Meet. For every 20 Athletes, there is one Team Leader. How many Team Leaders would be there in the team?

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In such ratio-based problems, carefully use the relationship between total members and their division into subgroups.
Updated On: Aug 18, 2025
  • 100
  • 105
  • 110
  • 95
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The Correct Option is A

Solution and Explanation

Since for every 20 athletes, there is one team leader, the number of team leaders can be calculated by dividing the total number of athletes by 20. \[ \text{Number of Athletes} = 2100 - \text{Number of Team Leaders} \] Let the number of team leaders be \( x \). Thus, \[ \frac{2100 - x}{20} = x \quad \text{(for each 20 athletes, there is one leader)} \] Solving this, we get \( x = 100 \). Hence, there are 100 team leaders.
- Option (B) 105: This is incorrect. The number of team leaders is not 105, based on the calculation.
- Option (C) 110: This is incorrect.
- Option (D) 95: This is also incorrect.
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