document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=294640>Question 294640</A>: <I><SPAN STYLE=\"word-break: break-all;\"> five hot dogs and four burgers cost 14.75$. four hot dogs and 5 burgers cost 14.50$. Find the cost of one hot dog and the cost of one burger<BR>\n" );
document.write( "5h+4b=14.75<BR>\n" );
document.write( "4h+5b=14.50<BR>\n" );
document.write( "First impression is to add them<BR>\n" );
document.write( "9h+9b= 29.25<BR>\n" );
document.write( "9(h+b)=29.25<BR>\n" );
document.write( "h+b=29.25/9<BR>\n" );
document.write( "but this makes no sense<BR>\n" );
document.write( "Any help is greatly appreciated </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #212424 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=212424\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> five hot dogs and four burgers cost 14.75$. four hot dogs and 5 burgers cost 14.50$. Find the cost of one hot dog and the cost of one burger<BR>\n" );
document.write( "5h+4b=14.75<BR>\n" );
document.write( "4h+5b=14.50<BR>\n" );
document.write( "First impression is to add them<BR>\n" );
document.write( "----------------------------------------<BR>\n" );
document.write( "The objective is to eliminate one of the variables.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "To get rid of the \"h\" terms, multiply 1st equation by 4 <BR>\n" );
document.write( "and 2nd equation by 5 to get:<BR>\n" );
document.write( "----<BR>\n" );
document.write( "20h + 16b = 4*15.75<BR>\n" );
document.write( "20h + 25b = 5*14.50<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Now, SUBTRACT the 1st Eq. from the 2nd and solve for \"b\":<BR>\n" );
document.write( "9b = 5*14.5 - 4*15.75<BR>\n" );
document.write( "9b = 9.5<BR>\n" );
document.write( "b = $1.06<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "To solve for \"h\", substitute b=1.06 into either of the original equations.<BR>\n" );
document.write( "5h+4b=14.75<BR>\n" );
document.write( "5h + 4(1.06) = 14.75<BR>\n" );
document.write( "5h = 14.75-4.24<BR>\n" );
document.write( "5h = 12.51<BR>\n" );
document.write( "h = $2.50<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );