document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1099310>Question 1099310</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "peter was given a crate of cups.he sold all the cups.each cup was sold for $8.90.for every set of 5 cups sold a cup was given free. 2/3 of the cups were sold in sets of 5 cups. He collected $1174.80.<BR>\n" );
document.write( "how many cups were in the crate at first.\r<BR>\n" );
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document.write( "thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #713807 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=713807\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> peter was given a crate of cups.<BR>\n" );
document.write( "he sold all the cups.<BR>\n" );
document.write( "each cup was sold for $8.90.<BR>\n" );
document.write( "for every set of 5 cups sold a cup was given free.<BR>\n" );
document.write( " 2/3 of the cups were sold in sets of 5 cups.<BR>\n" );
document.write( " He collected $1174.80.<BR>\n" );
document.write( " how many cups were in the crate at first.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let x = original number of cups<BR>\n" );
document.write( "2/3 of the cups were sold as a set of 5 one free, therefore<BR>\n" );
document.write( "5 * 8.90 = 44.50. They got 6 cups for 44.50 therefore<BR>\n" );
document.write( "44.50/6 = 7.42 per cup<BR>\n" );
document.write( "8.90*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 7.42*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x = 1174.40<BR>\n" );
document.write( "multiply equation by 3<BR>\n" );
document.write( "8.90x + 7.4167(2x) = 3523.20<BR>\n" );
document.write( "8.90x + 14.733x = 3523.20<BR>\n" );
document.write( "23.633x = 3523.20<BR>\n" );
document.write( "x = 3523.20/23.633<BR>\n" );
document.write( "x = 149.1 <BR>\n" );
document.write( "We know it has to be an integer and a multiple of 3, lets assume<BR>\n" );
document.write( "x = 150 cups originally<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find how many cups were paid for <BR>\n" );
document.write( "1174.4/8.90 = 132 cups, therefore<BR>\n" );
document.write( "150-132 = 18 cups were free </SPAN>\n" );
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