document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=763108>Question 763108</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Set up the equation for the following situation and solve. <BR>\n" );
document.write( "Adam has three times as much money as Betty. Together they have $34. How much money does each person have ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #464506 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=464506\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let A = amount of money Adam has.<BR>\n" );
document.write( "Let B = amount of money Betty has.<BR>\n" );
document.write( "Then you have two equations<BR>\n" );
document.write( "(1) A = 3*B and<BR>\n" );
document.write( "(2) A + B = 34<BR>\n" );
document.write( "Now substitute (1) into (2) and get<BR>\n" );
document.write( "(3) 3*B + B = 34 or<BR>\n" );
document.write( "(4) 4*B = 34 or<BR>\n" );
document.write( "(5) B = 8.5<BR>\n" );
document.write( "and from (1) we get<BR>\n" );
document.write( "(6) A = 3*8.5 or<BR>\n" );
document.write( "(7) A = 25.5<BR>\n" );
document.write( "Let's check this with (2).<BR>\n" );
document.write( "Is (25.5 + 8.5 = 34)?<BR>\n" );
document.write( "Is (34 = 34)? Yes<BR>\n" );
document.write( "Answer: Adam has $25.50 and Betty has $8.50<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );