document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=283728>Question 283728</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Im having trouble solving this problem and ones like it. What is the answer and how is it found?<BR>\n" );
document.write( "If you buy 3 hotdogs and 3 sodas on your first trip to the concession stand and spend $22.50. You then go back a second time and spend $24 and buy 5 sodas and 2 hotdogs. How much does each hotdog cost and how much does each soda cost?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #205912 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=205912\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3s+3h=2250<BR>\n" );
document.write( "5s+2h=2400<BR>\n" );
document.write( "so we have two equations with two unknowns.<BR>\n" );
document.write( "we can solve by substitution or elimination(aka addition)<BR>\n" );
document.write( "lets try elimination<BR>\n" );
document.write( "multiply the first equation by -2 and the second by 3<BR>\n" );
document.write( "-6s-6h=-4500<BR>\n" );
document.write( "15s+6h=7200<BR>\n" );
document.write( "add them<BR>\n" );
document.write( "9s=2700<BR>\n" );
document.write( "s=300<BR>\n" );
document.write( "plug 300 for s in any equation and solve for h<BR>\n" );
document.write( "3s+3h=2250<BR>\n" );
document.write( "3*300+3h=2250<BR>\n" );
document.write( "900+3h=2250<BR>\n" );
document.write( "3h=1350<BR>\n" );
document.write( "h=450<BR>\n" );
document.write( "s=300 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );