document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=701315>Question 701315</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write a linear system that models the situation and solve.\r<BR>\n" );
document.write( "\n" );
document.write( "During a football game, students sell bags of popcorn for $2.50 each and drinks for $2 each. The students collect $336 in sales. They sell twice as many bags of popcorn as drinks. How many bags of popcorn do they sell? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #432401 by </B><A HREF=/tutors/aboutme.mpl?userid=neatmath><B>neatmath(302)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=neatmath><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=neatmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=432401\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><font face=\"Tahoma\">Let p be the number of bags of popcorn sold.<br>\r<BR>\n" );
document.write( "\n" );
document.write( "Let d be the number of drinks sold.<br>\r<BR>\n" );
document.write( "\n" );
document.write( "Then we have:<br>\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.50%2Ap%2B2%2Ad=336 ALIGN=MIDDLE  ALT=\"2.50%2Ap%2B2%2Ad=336\"   DISABLED_style= \"max-width:90%; height:auto;\" > given<br>\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=2d ALIGN=MIDDLE  ALT=\"p=2d\"   DISABLED_style= \"max-width:90%; height:auto;\" > given<br>\r<BR>\n" );
document.write( "\n" );
document.write( "We can then use substitution to solve, using the value of p in the second equation in the first equation:<br>\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.50%2A%282d%29%2B2%2Ad=336 ALIGN=MIDDLE  ALT=\"2.50%2A%282d%29%2B2%2Ad=336\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5d%2B2d=336 ALIGN=MIDDLE  ALT=\"5d%2B2d=336\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7d=336 ALIGN=MIDDLE  ALT=\"7d=336\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=48 ALIGN=MIDDLE  ALT=\"d=48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
document.write( "\n" );
document.write( "Then just plug this value for d into the second equation:<br>\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=2d ALIGN=MIDDLE  ALT=\"p=2d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=2%2A48 ALIGN=MIDDLE  ALT=\"p=2%2A48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=96 ALIGN=MIDDLE  ALT=\"p=96\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
document.write( "\n" );
document.write( "So the students sold 96 bags of popcorn (and 48 drinks).<br>\r<BR>\n" );
document.write( "\n" );
document.write( "Check it, and it should work!<br>\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.50%2A96%2B2%2A48=336 ALIGN=MIDDLE  ALT=\"2.50%2A96%2B2%2A48=336\"   DISABLED_style= \"max-width:90%; height:auto;\" > ???<br>\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240%2B96=336 ALIGN=MIDDLE  ALT=\"240%2B96=336\"   DISABLED_style= \"max-width:90%; height:auto;\" > ???<br>\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=336=336 ALIGN=MIDDLE  ALT=\"336=336\"   DISABLED_style= \"max-width:90%; height:auto;\" > YES<br>\r<BR>\n" );
document.write( "\n" );
document.write( "I hope this helps!  Keep practicing!  :)<br>\r<BR>\n" );
document.write( "\n" );
document.write( "*******************************************************<br>\r<BR>\n" );
document.write( "\n" );
document.write( "Please visit the new all-ages Neat Math Facebook Page: www.facebook.com/neatmath<br>\r<BR>\n" );
document.write( "\n" );
document.write( "to find math links or to post questions and comments on many math topics.<br>\r<BR>\n" );
document.write( "\n" );
document.write( "Email Scott King: neatmath@yahoo.com for help with specific problems,<br>\r<BR>\n" );
document.write( "\n" );
document.write( "or to inquire about income sensitive, low-cost or no-cost mathematics tutoring via email or other methods.<br>\r<BR>\n" );
document.write( "\n" );
document.write( "Paypal is always accepted for detailed assistance with single problems, send contributions to: neatmath@yahoo.com<br>\r<BR>\n" );
document.write( "\n" );
document.write( "Single problems would range from 50 cents to 5 dollars each, depending on their complexity.<br>\r<BR>\n" );
document.write( "\n" );
document.write( "Assistance for single problems can be done via email with scans or photos to help illustrate concepts.<br>\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you and good luck with all your future studies!<br><br> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );