MathDB
1994 AMC 12 #16

Source:

December 30, 2011
AMC

Problem Statement

Some marbles in a bag are red and the rest are blue. If one red marble is removed, then one-seventh of the remaining marbles are red. If two blue marbles are removed instead of one red, then one-fifth of the remaining marbles are red. How many marbles were in the bag originally?
<spanclass=latexbold>(A)</span> 8<spanclass=latexbold>(B)</span> 22<spanclass=latexbold>(C)</span> 36<spanclass=latexbold>(D)</span> 57<spanclass=latexbold>(E)</span> 71 <span class='latex-bold'>(A)</span>\ 8 \qquad<span class='latex-bold'>(B)</span>\ 22 \qquad<span class='latex-bold'>(C)</span>\ 36 \qquad<span class='latex-bold'>(D)</span>\ 57 \qquad<span class='latex-bold'>(E)</span>\ 71