document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=983046>Question 983046</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me to solve Al,Bill and  Carl went shopping.When they compared the totals that each had spent they found that: Al and Bill together spent a total of Php 1 200; Bill and Carl together spent a total of Php 1 800.00; and Al and Carl together spent a total of Php 1 000.How much did each person spend? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #603914 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52778)</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=603914\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Let &nbsp;<B>a</B></B>&nbsp; be the amount that Al spent &nbsp;(in Php);\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<B>b</B>&nbsp; be the amount that Bill spent &nbsp;(in Php), &nbsp;and \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<B>c</B>&nbsp; be the amount that Carl spent &nbsp;(in Php). \r<BR>\n" );
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document.write( "Then you have &nbsp;3&nbsp; equations in &nbsp;3&nbsp; unknowns:\r<BR>\n" );
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document.write( "a + b &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;= 1200, &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(1)\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;b + c = 1800, &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(2)\r<BR>\n" );
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document.write( "a + &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;c = 1000. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(3)\r<BR>\n" );
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document.write( "Add all three equations &nbsp;(which means \"add their left sides and add their right sides\"). &nbsp;You will get \r<BR>\n" );
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document.write( "2*(a + b + c) = 1200 + 1800 + 1000 = 4000, &nbsp;&nbsp;&nbsp;&nbsp;or\r<BR>\n" );
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document.write( "a + b + c = 2000. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(4)\r<BR>\n" );
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document.write( "Now, &nbsp;distract the equation &nbsp;(1)&nbsp; from &nbsp;(4). &nbsp;You will get\r<BR>\n" );
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document.write( "c = 2000 - 1200 = 800. &nbsp;&nbsp;Hence, &nbsp;Carl spent &nbsp;800 Php.\r<BR>\n" );
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document.write( "Next, &nbsp;distract the equation &nbsp;(2)&nbsp; from &nbsp;(4). &nbsp;You will get\r<BR>\n" );
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document.write( "a = 2000 - 1800 = 200. &nbsp;&nbsp;Hence, &nbsp;Al spent &nbsp;200 Php.\r<BR>\n" );
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document.write( "Finally, &nbsp;distract the equation &nbsp;(3)&nbsp; from &nbsp;(4). &nbsp;You will get\r<BR>\n" );
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document.write( "b = 2000 - 1000 = 1000. &nbsp;&nbsp;Hence, &nbsp;Bill spent &nbsp;1000 Php.\r<BR>\n" );
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document.write( "<B>Answer</B>. &nbsp;Al spent &nbsp;200 Php, &nbsp;Bill spent &nbsp;1000 Php, and &nbsp;Carl spent &nbsp;800 Php.\r<BR>\n" );
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document.write( "For more similar problems see the lesson &nbsp;<A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Matrices-and-determiminant/The-trick-to-solve-some-word-problems-with-three-and-more-unknowns.lesson>The tricks to solve some word problems with three and more unknowns using mental math</A>&nbsp; in this site.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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