document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1054860>Question 1054860</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kathi and Robert Hawn had a pottery stand at the annual Skippack Craft Fair. They sold some of their pottery at the original price of $11.50 each, but later decreased the price of each by $3.00. If they sold all 99 pieces and took in $ 931.50, find how many they sold at the original price and how many they sold at the reduced price. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #670095 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=670095\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 11.50 - 3.00 = 8.50.\r<BR>\n" );
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document.write( "some of the pieces of pottery were sold at 11.50 and some of the pieces of pottery were sold at 8.50.\r<BR>\n" );
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document.write( "let x = number of pieces of pottery sold at 11.50.<BR>\n" );
document.write( "let y = number of pieces of pottery sold at 8.50.\r<BR>\n" );
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document.write( "since a total of 99 pieces of pottery were sold, and since the total revenue collected was 931.50, you get the following equations.\r<BR>\n" );
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document.write( "x + y = 99<BR>\n" );
document.write( "11.50 * x + 8.50 * y = 931.50\r<BR>\n" );
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document.write( "the first equation says that the total number of pieces of pottery sold was 99.\r<BR>\n" );
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document.write( "the second equation says that the total money collected was 931.50, when x were sold at 11.50 and y were sold at 8.50.\r<BR>\n" );
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document.write( "these two equations need to be solved simultaneously.\r<BR>\n" );
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document.write( "we'll solve by elimination.\r<BR>\n" );
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document.write( "multiply both sides of the first equation by 11.50 and leave the second equation as is to get:\r<BR>\n" );
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document.write( "11.5 * x + 11.5 * y = 1138.5<BR>\n" );
document.write( "11.5 * x + 8.50 * y = 931.5\r<BR>\n" );
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document.write( "subtract the second equation from the first to get:\r<BR>\n" );
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document.write( "3.00 * y = 207\r<BR>\n" );
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document.write( "divide both sides of that equation by 3 to get y = 69.\r<BR>\n" );
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document.write( "since x + y = 99, this means that x has to be equal to 30.\r<BR>\n" );
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document.write( "your solution is that x = 30 and y = 69.\r<BR>\n" );
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document.write( "this means that the number of pieces of pottery sold at 11.50 is 30 and the number of pieces of pottery sold at 8.50 is 69.\r<BR>\n" );
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document.write( "30 * 11.50 + 69 * 8.50 is equal to 931.50.\r<BR>\n" );
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document.write( "solution looks good.\r<BR>\n" );
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document.write( "they sold 30 at the original price and 69 at the reduced price.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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