document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1107663>Question 1107663</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "there were 610 watches and pens in a box. 1/5 of the watches and 1/3 of the pens were from Japan. <BR>\n" );
document.write( "The rest korea. If a total of 150 watches and pens were from Japan, \r<BR>\n" );
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document.write( "how many watches in the box\r<BR>\n" );
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document.write( "how many pens from Korea. \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 #722685 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=722685\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let w = number of watches.<BR>\n" );
document.write( "let p = number of pens.\r<BR>\n" );
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document.write( "w + p = 610\r<BR>\n" );
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document.write( "1/5 of the watches and 1/3 of the pens were from japan.<BR>\n" );
document.write( "a total of 150 watches and pens were from japan.\r<BR>\n" );
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document.write( "1/5 * w + 1/3 * p = 150\r<BR>\n" );
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document.write( "these 2 equations need to be solved simultaneously.\r<BR>\n" );
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document.write( "leave the first equation as is and multiply both sides of the second equation by 5 to get:\r<BR>\n" );
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document.write( "w + p = 610<BR>\n" );
document.write( "w + 5/3 * p = 750\r<BR>\n" );
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document.write( "subtract the first equation from the second to get:\r<BR>\n" );
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document.write( "2/3 * p = 140.\r<BR>\n" );
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document.write( "solve for p to get 210.\r<BR>\n" );
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document.write( "if w + p = 610, and p = 210, then w must be equal to 400.\r<BR>\n" );
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document.write( "you get w + p = 400 + 210 = 610.\r<BR>\n" );
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document.write( "you get 1/5 * w + 1/3 * p = 1/5 * 400 + 1/3 * 210 = 80 + 70 = 150.\r<BR>\n" );
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document.write( "this confirms that the solutions are correct because the original equations are both true when w = 400 and p = 210.\r<BR>\n" );
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document.write( "you were asked:\r<BR>\n" );
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document.write( "how many watches in the box?<BR>\n" );
document.write( "how many pens from Korea? \r<BR>\n" );
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document.write( "since w = the number of watches, then the number of watches in the box = 400.\r<BR>\n" );
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document.write( "since p = the number of pens in the box, and since 1/3 of the pens in the box were from japan, then 2/3 of the pens in the box were from korea.\r<BR>\n" );
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document.write( "2/3 * p = 2/3 * 210 = 140.\r<BR>\n" );
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document.write( "your solution is:\r<BR>\n" );
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document.write( "the number of watches in the box was 400.\r<BR>\n" );
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document.write( "the number of pens in the box from korea was 140.\r<BR>\n" );
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document.write( "if you drew a table of what was in the box, it would look something like this:\r<BR>\n" );
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document.write( "                       watches             pens           total\r\n" );
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document.write( "japan                    80                 70             150\r\n" );
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document.write( "korea                   320                140             460\r\n" );
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document.write( "total                   400                210             610\r\n" );
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document.write( " </SPAN>\n" );
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