document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1036033>Question 1036033</A>: <I><SPAN STYLE=\"word-break: break-all;\"> jessica makes 15% profit on lunches and 20% profit on dinners. Jessica took in $3000 on tuesday and made a profit of $539.50, how much was spent at lunch? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #650628 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=650628\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = the amount she made on lunches.<BR>\n" );
document.write( "y = the amount she made on dinners.\r<BR>\n" );
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document.write( "her profit on lunches was .15x<BR>\n" );
document.write( "her profit on dinners was .20x\r<BR>\n" );
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document.write( "she took in a total of 3000 dollars.<BR>\n" );
document.write( "x + y = 3000\r<BR>\n" );
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document.write( "her total profit was 539.50<BR>\n" );
document.write( ".15x + .20y = 539.50\r<BR>\n" );
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document.write( "you have 2 equations that need to be solved simultaneously because the same solution applies to both.\r<BR>\n" );
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document.write( "they are:\r<BR>\n" );
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document.write( "x + y = 3000<BR>\n" );
document.write( ".15x + .20y = 539.50\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 second equation by 5 and leave the first equation as is to get:\r<BR>\n" );
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document.write( "x + y = 3000<BR>\n" );
document.write( ".75x + y = 2697.50\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( ".25x= 302.50\r<BR>\n" );
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document.write( "divide both sides of this equation by .25 to get x = 1210.\r<BR>\n" );
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document.write( "since x + y = 3000, then x = 1210 and y = 3000 - 1210 = 1790.\r<BR>\n" );
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document.write( "she made 1210 on lunch and 1790 on dinner for a total of 3000 dollars.\r<BR>\n" );
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document.write( "she made .15 * 1210 = 181.50 profit on lunch and .20 * 1790 = 358.00 profit on dinner for a total profit of 181.50 + 358.00 = 539.50.\r<BR>\n" );
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document.write( "solution looks good.\r<BR>\n" );
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document.write( "the solution is that 1210 dollars was spent on lunch.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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