document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=631762>Question 631762</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mark had 3 times more marbles than Isabella. Isabella had 2/3 more marbles than Jack for a total of 99 marbles. How many marbles did Mark, Isabella, and Jack each have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #397783 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=397783\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mark had 3 times more marbles than Isabella. Isabella had 2/3 more marbles than Jack for a total of 99 marbles. How many marbles did Mark, Isabella, and Jack each have?<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "M = 3I<BR>\n" );
document.write( "I = (2/3)J<BR>\n" );
document.write( "M + I + J = 99<BR>\n" );
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document.write( "Substitute for M and J and solve for \"I\":<BR>\n" );
document.write( "3I + I + (3/2)I = 99<BR>\n" );
document.write( "6I + 2I + 3I = 198<BR>\n" );
document.write( "11I = 198<BR>\n" );
document.write( "I = 18 (Isabelle has 18)<BR>\n" );
document.write( "M = 3I = 54 (Mark has 54 marbles)<BR>\n" );
document.write( "J = (3/2)I = (3/2)18 = 27 (Jack has 27 marbles)\r<BR>\n" );
document.write( "\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=============<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );