document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=338998>Question 338998</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A discount store sold plastic cups for $3.25 each and ceramic cups for $4.50 each.?<BR>\n" );
document.write( "if 500 cups were sold for a total of 2,090,how many cups of each type were sold?\r<BR>\n" );
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document.write( "What was the dollar value of each type of cup sold? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #243182 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><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=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=243182\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Call the number of plastic cups p.\r<BR>\n" );
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document.write( "500 cups were sold in total, so that means that 500-p ceramic cups were sold.\r<BR>\n" );
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document.write( "A discount store sold plastic cups for $3.25 each -at a cost of 3.25p-and ceramic cups for $4.50 each -at a cost of 4.5*(500-p)....for a total of 2,090\r<BR>\n" );
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document.write( "So\r<BR>\n" );
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document.write( "3.25p + 4.5(500-p) = 2090\r<BR>\n" );
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document.write( "Now we can just solve for p....\r<BR>\n" );
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document.write( "3.25p + 2250 -4.5p = 2090<BR>\n" );
document.write( "2250-2090 = 4.5p-3.25p<BR>\n" );
document.write( "160 = 1.25p<BR>\n" );
document.write( "p = 160/1.25 = 128\r<BR>\n" );
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document.write( "128 plastic cups were sold for 128*3.25 = $416\r<BR>\n" );
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document.write( "500-128 = 372 ceramic cups were sold for 372 *4.5= $1674\r<BR>\n" );
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document.write( "Check: 416+1674 = 2090<BR>\n" );
document.write( " </SPAN>\n" );
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