document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=249868>Question 249868</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose you bought supplies for a party. Three rolls of streamers and 15 party hats cost $30. Later, you bought 2 rolls of streamers and 4 party hats for $11. How much did each roll of streamers cost? How much did each party hat cost? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #181930 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=181930\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose you bought supplies for a party. <BR>\n" );
document.write( "Three rolls of streamers and 15 party hats cost $30. <BR>\n" );
document.write( "Later, you bought 2 rolls of streamers and 4 party hats for $11. <BR>\n" );
document.write( "How much did each roll of streamers cost? <BR>\n" );
document.write( "How much did each party hat cost?<BR>\n" );
document.write( "----------------------------------------<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "3s + 15h = 30<BR>\n" );
document.write( "2s + 4h = 11<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Multiply thru 1st by 2 ; Multiply thru 2nd by 3.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "6s + 30h  = 60<BR>\n" );
document.write( "6s + 12h = 33<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Subtract 2nd from 1st:<BR>\n" );
document.write( "18h = 27<BR>\n" );
document.write( "h = 3/2 = $1.50 (price of each hat)<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Substitute into 2s + 4h = 11 to solve for \"s\".<BR>\n" );
document.write( "2s + 4*(3/2) = 11<BR>\n" );
document.write( "2s + 6 = 11<BR>\n" );
document.write( "2x = 5<BR>\n" );
document.write( "x = $2.50 (price of one streamer)<BR>\n" );
document.write( "===========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );