MathDB
Red & Blue Marbles in a Bag

Source:

January 15, 2009
ratio

Problem Statement

A bag initially contains red marbles and blue marbles only, with more blue than red. Red marbles are added to the bag until only 1/3 1/3 of the marbles in the bag are blue. Then yellow marbles are added to the bag until only 1/5 1/5 of the marbles in the bag are blue. Finally, the number of blue marbles in the bag is doubled. What fraction of the marbles now in the bag are blue? <spanclass=latexbold>(A)</span> 15<spanclass=latexbold>(B)</span> 14<spanclass=latexbold>(C)</span> 13<spanclass=latexbold>(D)</span> 25<spanclass=latexbold>(E)</span> 12 <span class='latex-bold'>(A)</span>\ \frac {1}{5}\qquad <span class='latex-bold'>(B)</span>\ \frac {1}{4}\qquad <span class='latex-bold'>(C)</span>\ \frac {1}{3}\qquad <span class='latex-bold'>(D)</span>\ \frac {2}{5}\qquad <span class='latex-bold'>(E)</span>\ \frac {1}{2}