document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196875>Question 1196875</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "Boxes A and B contained 150 marbles altogether. When 1/3 of the marbles in box A were transferred to box B and 12 marbles were taken out from B there were twice as many marbles in B than in A.<BR>\n" );
document.write( "How many were in B in the beginning. <BR>\n" );
document.write( "Thanks </SPAN>\n" );
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document.write( "12 of the 150 marbles were removed from B at the end, leaving 138 marbles in the two boxes.<br><BR>\n" );
document.write( "At that point, there were twice as many in B than in A -- i.e., 2/3 of the 138 marbles were in B and 1/3 of them in A.  That makes 46 in A and 92 in B.<br><BR>\n" );
document.write( "Prior to that, 1/3 of the marbles in A had been moved to B, so the number of marbles remaining in A was 2/3 of the number originally in A.  We know that number of marbles was 46; so the number of marbles originally in A was 46*(3/2) = 69.<br><BR>\n" );
document.write( "(Algebraically, that is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29x=46 ALIGN=MIDDLE  ALT=\"%282%2F3%29x=46\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=46%283%2F2%29=69 ALIGN=MIDDLE  ALT=\"x=46%283%2F2%29=69\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<br><BR>\n" );
document.write( "And that means the number originally in B was 150-69 = 81.<br><BR>\n" );
document.write( "ANSWER: 81 marbles in B originally<br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "start: A = 69; B = 81<BR>\n" );
document.write( "move 1/3 of the marbles in A (23) to B: A = 69-23 = 46; B = 81+23 = 104<BR>\n" );
document.write( "remove 12 from B: A = 46; B = 104-12 = 92.<BR>\n" );
document.write( "92 = 2(46)<br><BR>\n" );
document.write( " </SPAN>\n" );
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