MathDB
Estimation

Source:

November 20, 2005
percent

Problem Statement

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 10%10 \% of Anita's estimate. ii. Bob's estimate is within 10%10 \% of the actual attendance in Boston.
To the nearest 1,000, the largest possible difference between the numbers attending the two games is
<spanclass=latexbold>(A)</span> 10,000<spanclass=latexbold>(B)</span> 11,000<spanclass=latexbold>(C)</span> 20,000<spanclass=latexbold>(D)</span> 21,000<spanclass=latexbold>(E)</span> 22,000<span class='latex-bold'>(A)</span>\ 10,000 \qquad <span class='latex-bold'>(B)</span>\ 11,000 \qquad <span class='latex-bold'>(C)</span>\ 20,000 \qquad <span class='latex-bold'>(D)</span>\ 21,000 \qquad <span class='latex-bold'>(E)</span>\ 22,000