Problem:
Anita attends a baseball game in Atlanta and estimates that there are fans in attendance. Bob attends a baseball game in Boston and estimates that there are in attendance. A league official who knows the actual numbers attending the two games notes that:
The actual attendance in Atlanta is within of Anita's estimate.
Bob's estimate is within of the actual attendance in Boston.
To the nearest , the largest possible difference between the numbers attending the two games is
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Let denote the number in attendance in Atlanta, and let denote the number in attendance in Boston. We are given and , so . Hence the largest possible difference between and is , so the correct choice is .