MathDB
Ubiquitous Conversion

Source: AMC 8 2018 #1

November 20, 2018
AMC 8ratio2018 AMC 8

Problem Statement

An amusement park has a collection of scale models, with ratio 1:201 : 20, of buildings and other sights from around the country. The height of the United States Capitol is 289 feet. What is the height in feet of its replica to the nearest whole number?
<spanclass=latexbold>(A)</span>14<spanclass=latexbold>(B)</span>15<spanclass=latexbold>(C)</span>16<spanclass=latexbold>(D)</span>18<spanclass=latexbold>(E)</span>20<span class='latex-bold'>(A) </span>14\qquad<span class='latex-bold'>(B) </span>15\qquad<span class='latex-bold'>(C) </span>16\qquad<span class='latex-bold'>(D) </span>18\qquad<span class='latex-bold'>(E) </span>20