document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=190587>Question 190587</A>: <I><SPAN STYLE=\"word-break: break-all;\"> #13 i have tired ti figure this out but I do not know where to start\r<BR>\n" );
document.write( "\n" );
document.write( "The questions asked <BR>\n" );
document.write( "A discount store sold plastic cups for 3.50 and each ceramic cups for 4 dollars each. If 400 cups were sold for a total of $1,458, how many cups of each type were sold ? what is the dollar value of each type of cup sold\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #143054 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=143054\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A discount store sold plastic cups for 3.50 and each ceramic cups for 4 dollars each. If 400 cups were sold for a total of $1,458, how many cups of each type were sold ? what is the dollar value of each type of cup sold <BR>\n" );
document.write( "-------------------------------------------<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "Quantity: p + c = 400<BR>\n" );
document.write( "Value: 3.5p +4c = 1458<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Multiply thru the 1st equation by 4 to set up the system for elimination:<BR>\n" );
document.write( "4p + 4c = 1600<BR>\n" );
document.write( "3.5p+4c = 1458<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Subtract 2nd Eq. from 1st to get:<BR>\n" );
document.write( "0.5p= 142<BR>\n" );
document.write( "p = 284 (# of plastic cups sold)<BR>\n" );
document.write( "dollar value = 3.5*284 = $994.00<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Substitute into p+c=400 to solve for \"c\":<BR>\n" );
document.write( "284 + c = 400<BR>\n" );
document.write( "c = 116 (# of ceramic cups sold)<BR>\n" );
document.write( "dollar value = $464\r<BR>\n" );
document.write( "\n" );
document.write( "=====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );