document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=193385>Question 193385</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A discount store sold plastic cups for $3.50 each and ceramic cups for $4.00 each. If 400 cups were sold for a total of $1,458, how many cups of each type were sold? 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 #145197 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=145197\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x and y be the number of of plasic and ceramic cups sold respectively<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x+y=400............eq 1<BR>\n" );
document.write( "3.5x+4y=1458.......eq 2<BR>\n" );
document.write( ":<BR>\n" );
document.write( "rewrite eq 1 to x=400-y and plug this value into eq 2<BR>\n" );
document.write( ":<BR>\n" );
document.write( "3.5(400-y)+4y=1458<BR>\n" );
document.write( ":<BR>\n" );
document.write( "1400-3.5y+4y=1458<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".5y=58<BR>\n" );
document.write( ":<BR>\n" );
document.write( "y=116 ceramic cups<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x=400-116=284 plastic cups<BR>\n" );
document.write( ":<BR>\n" );
document.write( "dollar value of plasic cups is 284(3.5)=$994<BR>\n" );
document.write( "dollar value of ceramic cups is 116(4)=$464 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );