document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=243093>Question 243093</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help setting up this problem. Thanks\r<BR>\n" );
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document.write( "Red cards are worth 3 credits, while blue cards are worth 5 credits. You need any combination of 20 cards to play a game.\r<BR>\n" );
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document.write( "With 84 credits to buy cards , how many of each type of card will you have when you play? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #178104 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=178104\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let:<BR>\n" );
document.write( "r = number of red cards<BR>\n" );
document.write( "b = number of blue cards<BR>\n" );
document.write( "We are told there are 20 cards, so:<BR>\n" );
document.write( "r + b = 20 <BR>\n" );
document.write( "which can be rearranged as:<BR>\n" );
document.write( "b=20-r<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Since each r has a value of 3 and each b has a value of 5, we can compute the total.<BR>\n" );
document.write( "3r + 5b = 84<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Substituting,<BR>\n" );
document.write( "3(20-b) + 5b = 84<BR>\n" );
document.write( "60 -3b +5b = 84<BR>\n" );
document.write( "2b=24<BR>\n" );
document.write( "b=12<BR>\n" );
document.write( "Since the total number of cards is 20, then<BR>\n" );
document.write( "r=8<BR>\n" );
document.write( "Checking the answer...<BR>\n" );
document.write( "3r = 24<BR>\n" );
document.write( "5b = 60<BR>\n" );
document.write( "24+60=84 </SPAN>\n" );
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