MathDB
1968 AMC 12 #34 - Voting

Source:

January 1, 2012
absolute valueAMC

Problem Statement

With 400400 members voting the House of Representatives defeated a bill. A re-vote, with the same members voting, resulted in passage of the bill by twice the margin\dagger by which it was originally defeated. The number voting for the bill on the re-vote was 1211\frac{12}{11} of the number voting against it originally. How many more members voted for the bill the second time than voted for it the first time?
<spanclass=latexbold>(A)</span> 75<spanclass=latexbold>(B)</span> 60<spanclass=latexbold>(C)</span> 50<spanclass=latexbold>(D)</span> 45<spanclass=latexbold>(E)</span> 20<span class='latex-bold'>(A)</span>\ 75 \qquad<span class='latex-bold'>(B)</span>\ 60 \qquad<span class='latex-bold'>(C)</span>\ 50 \qquad<span class='latex-bold'>(D)</span>\ 45 \qquad<span class='latex-bold'>(E)</span>\ 20
\dagger In this context, margin of defeat (passage) is defined as the number of nays minus the number of ayes (nays-ayes).