document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=60861>Question 60861</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sally bought three chocolate bars and a pack of gum and paid $1.75.  Jake bought two chocolate bars and four packs of gum and paid $2.00.  Find the cost of a chocolate bar and the cost of a pack of gum. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41811 by </B><A HREF=/tutors/aboutme.mpl?userid=jai_kos><B>jai_kos(139)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jai_kos><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=41811\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the cost of the chocolate bar  = “x” <BR>\n" );
document.write( "The cost of the pack of the gum = “y”\r<BR>\n" );
document.write( "\n" );
document.write( "Sally bought 3 chocolate bars and a pack of gum = $1.75<BR>\n" );
document.write( "3(chocolate bars) +(pack of a gum)= $1.75<BR>\n" );
document.write( "3x + y = $1.75                     &#61664;(1)\r<BR>\n" );
document.write( "\n" );
document.write( "Jake bought two chocolate bars and 4 packs of gum =$2.00<BR>\n" );
document.write( "2(chocolate bars) + 4 ( packs of a gum) = $2.00<BR>\n" );
document.write( "2x + 4y = 2.00                    &#61664;(2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Solving the simultaneous equation, we get<BR>\n" );
document.write( "3x + y   = 1. 75<BR>\n" );
document.write( "2x  + 4y = 2.00\r<BR>\n" );
document.write( "\n" );
document.write( "Now multiply equation(1) by 4,<BR>\n" );
document.write( "3x * 4  + y * 4   = 1. 75 * 4<BR>\n" );
document.write( "2x  + 4y = 2.00 \r<BR>\n" );
document.write( "\n" );
document.write( "We get,\r<BR>\n" );
document.write( "\n" );
document.write( "12x + 4 y =  7        &#61664;(3)<BR>\n" );
document.write( " 2x +  4y  =  2        &#61664;(2)\r<BR>\n" );
document.write( "\n" );
document.write( "Subtract the two equations, we get\r<BR>\n" );
document.write( "\n" );
document.write( "10x  = 5<BR>\n" );
document.write( "x  = (5/10)<BR>\n" );
document.write( "x = (1/2) = 0 .5\r<BR>\n" );
document.write( "\n" );
document.write( "Now we shall find the value of “y” by substituting the value of “x” in  equation(2), we get<BR>\n" );
document.write( "2(1/2) + 4 y = 2<BR>\n" );
document.write( "1 + 4y = 2<BR>\n" );
document.write( "4y = 2 -1<BR>\n" );
document.write( "4y = 1<BR>\n" );
document.write( "y = (1/4) = 0.25\r<BR>\n" );
document.write( "\n" );
document.write( "Therefore the value of “x” is 0.5 and value of y is  0.25.<BR>\n" );
document.write( "That is  <BR>\n" );
document.write( "The cost of chocolate bar   = $0.5<BR>\n" );
document.write( "The cost of the pack of gum = $0.25\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );