document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=273593>Question 273593</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Molly's Custom Kitchen Supplies sells handmade forks and spoons. It cost the store $1.70 to buy the supplies to make a fork and $1.30 to buy the supplies to make a spoon. The store sells forks for $5.60 and spoons for $5.40. Last April Molly's Custom Kitchen Supplies spent $37.90 on materials for forks and spoons. They sold the finished products for a total of $147.20. How many forks and how many spoons did they make last April? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #199813 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=199813\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Molly's Custom Kitchen Supplies sells handmade forks and spoons. It cost the store $1.70 to buy the supplies to make a fork and $1.30 to buy the supplies to make a spoon. The store sells forks for $5.60 and spoons for $5.40. Last April Molly's Custom Kitchen Supplies spent $37.90 on materials for forks and spoons. They sold the finished products for a total of $147.20. How many forks and how many spoons did they make last April?\r<BR>\n" );
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document.write( "fork-----------------------spoon-------------------- total\r<BR>\n" );
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document.write( "1.7-------------------------1.3---------------------37.90\r<BR>\n" );
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document.write( "5.6-------------------------5.40--------------------147.20\r<BR>\n" );
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document.write( "let the number of forks sold be x and number of spoons sold be y\r<BR>\n" );
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document.write( "Cost equation\r<BR>\n" );
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document.write( "1.7x+1.3y=37.90-------------1\r<BR>\n" );
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document.write( "Sales equation\r<BR>\n" );
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document.write( "5.6x+5.4y = 147.20------------2\r<BR>\n" );
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document.write( "Multiply equation 1 by 5.6 and equation 2 by 1.7\r<BR>\n" );
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document.write( "9.52x+7.28y=212.24------------1<BR>\n" );
document.write( "9.52x+9.18y=250.24-------------2\r<BR>\n" );
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document.write( "subtract 2 from 1\r<BR>\n" );
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document.write( "-1.9y=-38\r<BR>\n" );
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document.write( "y=-38/-1.9<BR>\n" );
document.write( "y=20  the number of spoons\r<BR>\n" );
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document.write( "substitute the value of x in equation 1\r<BR>\n" );
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document.write( "x=7 the number of forks\r<BR>\n" );
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document.write( " </SPAN>\n" );
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