document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=925611>Question 925611</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please Help!!! Q)Four friends A,B,C and D together fave 120 marbles. The number of marbles with A is 1/4 the total number of marbles with the other three. Marbles with B is 1/3 of the total marbles with the other three. C has 3/7 of the marbles with others. Who among A,B,C and D has the most of marbles? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #561659 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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/cgi-bin/show-face.mpl?user=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=561659\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We are given 4 equations,<BR>\n" );
document.write( "A +B +C +D = 120<BR>\n" );
document.write( "A = (1/4) * (B+C+D)<BR>\n" );
document.write( "B = (1/3) * (A+C+D)<BR>\n" );
document.write( "C = 120 - (A+B+C)<BR>\n" );
document.write( "from the second equation, we have<BR>\n" );
document.write( "4A = (B+C+D)<BR>\n" );
document.write( "substitute in first equation,<BR>\n" );
document.write( "A +4A = 120<BR>\n" );
document.write( "5A = 120<BR>\n" );
document.write( "A = 24<BR>\n" );
document.write( "from the third equation, we have<BR>\n" );
document.write( "3B = (A+C+D)<BR>\n" );
document.write( "substitute in first equation<BR>\n" );
document.write( "B +3B = 120<BR>\n" );
document.write( "4B = 120<BR>\n" );
document.write( "B = 30<BR>\n" );
document.write( "from fourth equation, we have<BR>\n" );
document.write( "C = 120 - (54+D)<BR>\n" );
document.write( "C = 66 -D<BR>\n" );
document.write( "C+D = 66<BR>\n" );
document.write( "C =54<BR>\n" );
document.write( "to find D, we have<BR>\n" );
document.write( "24 +30 +54 +D = 120<BR>\n" );
document.write( "108 +D = 120<BR>\n" );
document.write( "D = 12<BR>\n" );
document.write( "therefore,<BR>\n" );
document.write( "A has 24 marbles, B has 30 marbles, C has 54 marbles, D has 12 marbles<BR>\n" );
document.write( "C has the most marbles which is 54\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );