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 #603911 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=603911\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Al,Bill and Carl went shopping.<BR>\n" );
document.write( "When they compared the totals that each had spent they found that:<BR>\n" );
document.write( " Al and Bill together spent a total of Php 1200;<BR>\n" );
document.write( "a + b = 1200<BR>\n" );
document.write( " Bill and Carl together spent a total of Php 1800.00;<BR>\n" );
document.write( "b + c = 1800 <BR>\n" );
document.write( " and Al and Carl together spent a total of Php 1000.<BR>\n" );
document.write( "a + c = 1000<BR>\n" );
document.write( "How much did each person spend?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "use elimination on the 1st two equations<BR>\n" );
document.write( "0 + b + c = 1800<BR>\n" );
document.write( "a + b + 0 = 1200<BR>\n" );
document.write( "-------------------Subtraction eliminates b<BR>\n" );
document.write( "-a + 0 + c = 600<BR>\n" );
document.write( "c = (a+600)<BR>\n" );
document.write( "In the 3rd equation; a + c = 1000, replace c with (a+600)<BR>\n" );
document.write( "a + (a+600) = 1000<BR>\n" );
document.write( "2a = 1000 - 600<BR>\n" );
document.write( "2a = 400<BR>\n" );
document.write( "a = 400/2<BR>\n" );
document.write( "a = 200<BR>\n" );
document.write( "find c using equation c = a + 600<BR>\n" );
document.write( "c = 200 + 600<BR>\n" );
document.write( "c = 800<BR>\n" );
document.write( "Find b using the 2nd equation, replace c with 800<BR>\n" );
document.write( "b + 800 = 1800<BR>\n" );
document.write( "b = 1800 - 800<BR>\n" );
document.write( "b = 1000<BR>\n" );
document.write( ":<BR>\n" );
document.write( "We have:<BR>\n" );
document.write( " Al spent 200<BR>\n" );
document.write( " Bill spent 1000<BR>\n" );
document.write( " Carl spent 800<BR>\n" );
document.write( ":<BR>\n" );
document.write( "you can check and see if all this adds up\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );