document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=4324>Question 4324</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Story Problem:<BR>\n" );
document.write( "Justin purchased some 23 cent stamps and some 37 cent stamps. He bought a total of 80 stamps for a total cost of less than $25.  What is the maximum number of 37 cent stamps that Justin could have purchased?\r<BR>\n" );
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document.write( "Please show the set up & formula for solving this. Thank You! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #1969 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=1969\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a good problem to write two equations in two variables.\r<BR>\n" );
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document.write( "Let x = number of 23 cent stamps<BR>\n" );
document.write( "    y = number of 37 cent stamps\r<BR>\n" );
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document.write( "Total of the stamps is 80, so x + y = 80.<BR>\n" );
document.write( "Value of the stamps is $25 or 2500 cents, so 23x + 37y = 2500\r<BR>\n" );
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document.write( "To eliminate the x, multiply both sides of the first equation by -23.<BR>\n" );
document.write( "-23x - 23y = -23(80)= -1840<BR>\n" );
document.write( "+23x + 37y = 2500\r<BR>\n" );
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document.write( "Add the equations together<BR>\n" );
document.write( "14y = 660\r<BR>\n" );
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document.write( "Divide both sides by 14, giving a value of y that does not come out even.<BR>\n" );
document.write( "y = 660/14 = 47.142857. . .\r<BR>\n" );
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document.write( "This means that the MAXIMUM number of 37 cent stamps = 47  FINAL ANSWER!! \r<BR>\n" );
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document.write( "As a check, subtract 80 - 47 = 33 of the 23 cent stamps.  The total value of the stamps is<BR>\n" );
document.write( "47(37) = $17.39<BR>\n" );
document.write( "33(33) = $ 7.59<BR>\n" );
document.write( "Total  = $24.98  Only $.02 left out of the $25.\r<BR>\n" );
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document.write( "R^2 at SCC </SPAN>\n" );
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