MathDB
Problem 3- 2011 AMC 8

Source:

November 30, 2011
ratio

Problem Statement

Extend the square pattern of 88 black and 1717 white square tiles by attaching a border of black tiles around the square. What is the ratio of black tiles to white tiles in the extended pattern? [asy] filldraw((0,0)--(5,0)--(5,5)--(0,5)--cycle,white,black); filldraw((1,1)--(4,1)--(4,4)--(1,4)--cycle,mediumgray,black); filldraw((2,2)--(3,2)--(3,3)--(2,3)--cycle,white,black); draw((4,0)--(4,5)); draw((3,0)--(3,5)); draw((2,0)--(2,5)); draw((1,0)--(1,5)); draw((0,4)--(5,4)); draw((0,3)--(5,3)); draw((0,2)--(5,2)); draw((0,1)--(5,1));[/asy]
<spanclass=latexbold>(A)</span> 8:17<spanclass=latexbold>(B)</span> 25:49<spanclass=latexbold>(C)</span> 36:25<spanclass=latexbold>(D)</span> 32:17<spanclass=latexbold>(E)</span> 36:17 <span class='latex-bold'>(A)</span>\ 8:17\qquad<span class='latex-bold'>(B)</span>\ 25:49\qquad<span class='latex-bold'>(C)</span>\ 36:25\qquad<span class='latex-bold'>(D)</span>\ 32:17\qquad<span class='latex-bold'>(E)</span>\ 36:17