document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=300742>Question 300742</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help solving this problem: <BR>\n" );
document.write( "The grocery store we use does not mark prices on its goods. my wife went to this store and bought 5 packages of bacon and 3 cartons of eggs and paid a total of 18.52. i also went to the store and bought 3 packages of bacon and 5 cartons of eggs and paid a total of 14.92. now we want to return 3 packages of bacon and 3 cartons of eggs. how much will be refunded? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #215724 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=215724\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The grocery store we use does not mark prices on its goods. my wife went to this store and bought 5 packages of bacon and 3 cartons of eggs and paid a total of 18.52. i also went to the store and bought 3 packages of bacon and 5 cartons of eggs and paid a total of 14.92. now we want to return 3 packages of bacon and 3 cartons of eggs. how much will be refunded?\r<BR>\n" );
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document.write( "Let a packet of bacon cost $x<BR>\n" );
document.write( "Let a packet of eggs cost $ y\r<BR>\n" );
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document.write( "wife: 5x+3y= 18.52\r<BR>\n" );
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document.write( "Yourself\r<BR>\n" );
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document.write( "3x+5y= 14.92\r<BR>\n" );
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document.write( "3(5x+3y)-5(3x+5y)= 3*18.52-5*14.92\r<BR>\n" );
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document.write( "15x+9y-15x-25y= 55.56-74.6\r<BR>\n" );
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document.write( "-16y=19.04\r<BR>\n" );
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document.write( "x=1.19 cost of 1 packet of bacon\r<BR>\n" );
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document.write( "3x+5y=14.92\r<BR>\n" );
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document.write( "3*1.19+5y=14.92\r<BR>\n" );
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document.write( "5y= 14.92-3.57\r<BR>\n" );
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document.write( "y= 2.27 cost of 1 packet of eggs\r<BR>\n" );
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document.write( "3 packets of bacon = 3*1.19= 3.57\r<BR>\n" );
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document.write( "3 packages of eggs = 3*2.27= 6.81\r<BR>\n" );
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document.write( "you should get a refund of $ 10.38\r<BR>\n" );
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document.write( " </SPAN>\n" );
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