document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190214>Question 1190214</A>: <I><SPAN STYLE=\"word-break: break-all;\"> . The cost of four chairs and a small table is $648. The cost of six chairs and a large table is $1 196.<BR>\n" );
document.write( "The cost of the large table is Twice the cost of the small table. Given that a is the cost, in dollars, of a<BR>\n" );
document.write( "chair and b is the cost, in dollars, of a small table<BR>\n" );
document.write( "(i) write a pair of simultaneous equations to represent the information given. (2mks)<BR>\n" );
document.write( "(ii)calculate the cost of a chair and the cost of a large table.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #821818 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=821818\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "I will use the same start as the other tutor but solve by a different method....<br><BR>\n" );
document.write( "a = cost of a chair<BR>\n" );
document.write( "b = cost of a small table<BR>\n" );
document.write( "2b = cost of a large table (twice the cost of a small table)<br><BR>\n" );
document.write( "4a+b=648  the cost of 4 chairs and a small table is $648<BR>\n" );
document.write( "6a+2b=1196  the cost of 6 chairs and a large table is $1196<br><BR>\n" );
document.write( "When the two equations are both in Ax+By=C form, I think elimination is far easier than substitution....<br><BR>\n" );
document.write( "8a+2b=1296  (double the first equation)<BR>\n" );
document.write( "6a+2b=1196<BR>\n" );
document.write( "2a=100  (subtract the two equations)<BR>\n" );
document.write( "a=50<br><BR>\n" );
document.write( "4(50)+b=648<BR>\n" );
document.write( "200+b=648<BR>\n" );
document.write( "b=448<BR>\n" );
document.write( "2b=896<br><BR>\n" );
document.write( "ANSWERS:<BR>\n" );
document.write( "chair: a=$50<BR>\n" );
document.write( "large table: 2b=$896<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );