MathDB
Bags of Marbles

Source:

March 3, 2009

Problem Statement

Six bags of marbles contain 18 18, 19 19, 21 21, 23 23, 25 25, and 34 34 marbles, respectively. One bag contains chipped marbles only. The other 5 5 bags contain no chipped marbles. Jane takes three of the bags and George takes two of the others. Only the bag of chipped marbles remains. If Jane gets twice as many marbles as George, how many chipped marbles are there? <spanclass=latexbold>(A)</span> 18<spanclass=latexbold>(B)</span> 19<spanclass=latexbold>(C)</span> 21<spanclass=latexbold>(D)</span> 23<spanclass=latexbold>(E)</span> 25 <span class='latex-bold'>(A)</span>\ 18 \qquad <span class='latex-bold'>(B)</span>\ 19 \qquad <span class='latex-bold'>(C)</span>\ 21 \qquad <span class='latex-bold'>(D)</span>\ 23 \qquad <span class='latex-bold'>(E)</span>\ 25