document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=394939>Question 394939</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 15/4. If 1/3 of the larger number is 1/2 more than 2/3 of the smaller, find the numbers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #280289 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=280289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 15/4. If 1/3 of the larger number is 1/2 more than 2/3 of the smaller, find the numbers<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "x + y = 15/4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "(1/3)x=(2/3)y+(1/2)<BR>\n" );
document.write( "========================<BR>\n" );
document.write( "Rearrange:<BR>\n" );
document.write( "x+y = 15/4<BR>\n" );
document.write( "2x =4y+3<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Substitute for \"x\" and solve for \"y\":<BR>\n" );
document.write( "2(15/4 - y) = 4y+3<BR>\n" );
document.write( "(15/2) - 2y = 4y+3<BR>\n" );
document.write( "6y = 4.5<BR>\n" );
document.write( "y = 3/4<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Solve for \"x\":<BR>\n" );
document.write( "x+y = 15/4<BR>\n" );
document.write( "x + (3/4) = 15/4<BR>\n" );
document.write( "x = 3<BR>\n" );
document.write( "=====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );