document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=610819>Question 610819</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A roller skating rink charges an admission fee of $5 for members and $10 for non-members. One day it made at least $300. Which of these combinations could have come that day? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #384634 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=384634\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, there--<BR>\n" );
document.write( ".<BR>\n" );
document.write( "You did not include the combinations, so I cannot tell you which one would satisfy your constraints. Here is how you can solve the problem for yourself.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "I. Write an inequality to model your situation.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Let m be the number of members.<BR>\n" );
document.write( "Let n be the number of non-members.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The expression 5x represents the amount of money paid by all the members that day.<BR>\n" );
document.write( "The expression 10n represents the amount of money paid by all the non-members that day.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The phrase \"at least $300\" can be written as \"greater than or equal (>=) to 300.\" Our inequality is<BR>\n" );
document.write( ".<BR>\n" );
document.write( "[money paid by members] + [money paid by non-members] >=[$300]<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5m%2B10n%3E=300 ALIGN=MIDDLE  ALT=\"5m%2B10n%3E=300\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Take each combination you were given in the problem and substitute the number of member and non-members int the inequality. If the inequality is true, that combination works.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Here's an example that works: 30 members and  20 non-members. So, m=30 and n=20\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5m%2B10n%3E=300 ALIGN=MIDDLE  ALT=\"5m%2B10n%3E=300\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2830%29%2B10%2820%29%3E=300 ALIGN=MIDDLE  ALT=\"5%2830%29%2B10%2820%29%3E=300\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150%2B200%3E=300 ALIGN=MIDDLE  ALT=\"150%2B200%3E=300\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=350%3E=300 ALIGN=MIDDLE  ALT=\"350%3E=300\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "The skating rink took in $350 which is greater than or equal to $300, so that combination works.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Feel free to email if you still have questions.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Good luck,<BR>\n" );
document.write( "Ms.Figgy<BR>\n" );
document.write( "math-in-the-vortex@gmil.com<BR>\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );