document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=53283>Question 53283</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is a word problem. Sally bought 3 chocolate bars and a pack of gum and paid $1.75. Jake bought 2 chocolate bars and 4 packs of gum and paid $2.00.Find the cost a chocolate bar and the cost of a pack of gum. This is what I have done; 3x + 1y = 1.75; 2x+4y = 2.00.<BR>\n" );
document.write( "      3x + 1y = 1.75; -8x - 16y = -8.00 (multipling by -4)<BR>\n" );
document.write( "      17y = -6.25; y= 0.37<BR>\n" );
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document.write( "      3x + 1(0.37)=1.75<BR>\n" );
document.write( "      3x + 0.37 = 1.75<BR>\n" );
document.write( "        3x = 1.38<BR>\n" );
document.write( "          x = 0.46<BR>\n" );
document.write( "When Checking; 3(0.46) + 1(0.37)=1.75<BR>\n" );
document.write( "                 1.38 + 0.37 = 1.75<BR>\n" );
document.write( "                        1.75 = 1.75 (true)<BR>\n" );
document.write( "Te problem is when I plug these numbers into the second equation it does not come out to 2.00 it comes out as 2.40. Please tell me what I am doing wrong.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #35532 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=35532\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a word problem. Sally bought 3 chocolate bars and a pack of gum and paid $1.75. Jake bought 2 chocolate bars and 4 packs of gum and paid $2.00.<BR>\n" );
document.write( "Find the cost a chocolate bar and the cost of a pack of gum. <BR>\n" );
document.write( "This is what I have done; <BR>\n" );
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document.write( "3x + 1y = 1.75; <BR>\n" );
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document.write( "2x + 4y = 2.00.<BR>\n" );
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document.write( "3x + 1y = 1.75; multipy this by -4 and add it to the 2nd equation:<BR>\n" );
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document.write( "-12x - 4y = -7<BR>\n" );
document.write( "+ 2x + 4y = 2<BR>\n" );
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document.write( "-10x + 0y = -5<BR>\n" );
document.write( "        x = -5/-10<BR>\n" );
document.write( "        x = +.50 cost of the choc bars<BR>\n" );
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document.write( "I am not quite sure what you were doing, why you mult the 2nd eq by -4 is a puzzle to me. Multiplying the 1st equation by -4 would make sense.<BR>\n" );
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document.write( "Anyway find y using the 1st equation:<BR>\n" );
document.write( "3x + y = 1.75<BR>\n" );
document.write( "     y = 1.75 - 3x<BR>\n" );
document.write( "     y = 1.75 - 3(.50)<BR>\n" );
document.write( "     Y = .25 cost of the gum.<BR>\n" );
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document.write( "Check our solutions in the 2nd equation:<BR>\n" );
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document.write( "2x + 4y = 2<BR>\n" );
document.write( "2(.5) + 4(.25) = 2<BR>\n" );
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document.write( "I think you had the right idea, just got side-tracked somehow.\r<BR>\n" );
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