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1995 AMC 12 Question 16

AMC12 · 1995 AMC 12

Question 16

Anita attends a baseball game in Atlanta and estimates that there are $50{,}000$ fans in attendance. Bob attends a baseball game in Boston and estimates that there are $60{,}000$ fans in attendance. A league official who knows the actual numbers attending the two games notes that:

i. The actual attendance in Atlanta is within $10\%$ of Anita’s estimate.

ii. Bob’s estimate is within $10\%$ of the actual attendance in Boston.

To the nearest $1{,}000,$ the largest possible difference between the numbers attending the two games is
  1. $10{,}000$
  2. $11{,}000$
  3. $20{,}000$
  4. $21{,}000$
  5. $22{,}000$