document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1167914>Question 1167914</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi \r<BR>\n" );
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document.write( "Bill and Ben had some sweets. After giving away 5/7 of his sweets, Bill had 2/3 as many sweets as Ben. After Ben gave 120 sweets away he now had 1/4 as much as Bill.\r<BR>\n" );
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document.write( "How many sweets did each have at the start?\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #792514 by </B><A HREF=/tutors/aboutme.mpl?userid=VFBundy><B>VFBundy(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=VFBundy><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=VFBundy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=792514\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Bill's sweets at start = x<BR>\n" );
document.write( "Ben's sweets at start = y<BR>\n" );
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document.write( "2/7(x) = 2/3(y)<BR>\n" );
document.write( "y - 120 = 1/4(2/7(x))<BR>\n" );
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document.write( "Simplify equations:<BR>\n" );
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document.write( "2/7(x) = 2/3(y)<BR>\n" );
document.write( "y - 120 = 1/14(x)<BR>\n" );
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document.write( "2/7(x) - 2/3(y) = 0<BR>\n" );
document.write( "-1/14(x) + y = 120<BR>\n" );
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document.write( "Multiply second equation by 2/3:<BR>\n" );
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document.write( "2/7(x) - 2/3(y) = 0<BR>\n" );
document.write( "-1/21(x) + 2/3(y) = 80<BR>\n" );
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document.write( "Add both equations together:<BR>\n" );
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document.write( "5/21(x) = 80<BR>\n" );
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document.write( "Solve for x:<BR>\n" );
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document.write( "x = 80(21/5)<BR>\n" );
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document.write( "x = 336<BR>\n" );
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document.write( "Now that we know x = 336, we can plug this into any previous equation to find out what y equals.<BR>\n" );
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document.write( "2/7(x) = 2/3(y)<BR>\n" );
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document.write( "2/7(336) = 2/3(y)<BR>\n" );
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document.write( "96 = 2/3(y)<BR>\n" );
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document.write( "y = 96(3/2)<BR>\n" );
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document.write( "y = 144<BR>\n" );
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document.write( "Bill's sweets at start = x = <b>336</b><BR>\n" );
document.write( "Ben's sweets at start = y = <b>144</b> </SPAN>\n" );
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