document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=983984>Question 983984</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi <BR>\n" );
document.write( "boxes a and b contain 112 pencils.when 1/5 of the pencils in box a were transfered to box b, both boxes contained the same number of pencils.<BR>\n" );
document.write( "how many more pencils were there in box a than in box b at first.\r<BR>\n" );
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document.write( "THANK YOU </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #604783 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52794)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=604783\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let &nbsp;<B>x</B>&nbsp; and &nbsp;<B>y</B>&nbsp; be the numbers of pencils in the boxes &nbsp;<B>a</B>&nbsp; and &nbsp;<B>b</B>&nbsp; respectively.\r<BR>\n" );
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document.write( "Then you have two equations in two unknowns\r<BR>\n" );
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document.write( "x + y = 112, &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;and\r<BR>\n" );
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document.write( "x - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F5 ALIGN=MIDDLE  ALT=\"1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >x = y + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F5 ALIGN=MIDDLE  ALT=\"1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >x.\r<BR>\n" );
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document.write( "From the second equation\r<BR>\n" );
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document.write( "5x - x = 5y + x, &nbsp;&nbsp;&nbsp;&nbsp;or\r<BR>\n" );
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document.write( "3x = 5y. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(1)\r<BR>\n" );
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document.write( "From the first equation\r<BR>\n" );
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document.write( "3x + 3y = 336. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(2)\r<BR>\n" );
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document.write( "Now, replace &nbsp;3x&nbsp; in the equation &nbsp;(2)&nbsp; by &nbsp;5y, &nbsp;according to &nbsp;(1). &nbsp;You will get \r<BR>\n" );
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document.write( "5y + 3y = 336, &nbsp;&nbsp;&nbsp;&nbsp;or\r<BR>\n" );
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document.write( "8y = 336, &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;or\r<BR>\n" );
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document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=336%2F8 ALIGN=MIDDLE  ALT=\"336%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 42. \r<BR>\n" );
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document.write( "Now, &nbsp;x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y%2F3 ALIGN=MIDDLE  ALT=\"5y%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2A42%29%2F3 ALIGN=MIDDLE  ALT=\"%285%2A42%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=210%2F3 ALIGN=MIDDLE  ALT=\"210%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70 ALIGN=MIDDLE  ALT=\"70\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Hence, &nbsp;there were &nbsp;70&nbsp; pencils in the box &nbsp;<B>a</B>&nbsp; and &nbsp;42&nbsp; pencils in the box &nbsp;<B>b</B>.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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