1995 AHSME Problems/Problem 16
Problem
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 note that:
i. The actual attendance in Atlanta is within of Anita's estimate.
ii. Bob's estimate is within of the actual attendance in Boston.
To the nearest 1,000, the largest possible difference between the numbers attending the two games is
Solution
Since the number of people at the game in Boston is certainly more than the number of fans in Atlanta, we need to compute the maximum of Bob's game minus the minimum of Anita's game. Note however that there is a slight different between conditions (i) and (ii); the attendence is within from Anita's estimate of , but Bob's estimate is within of the actual attendance, or .
The answer is .
See also
1995 AHSME (Problems • Answer Key • Resources) | ||
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Followed by Problem 17 | |
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