document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=969338>Question 969338</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm a little stuck on how to go about setting up this problem, Thanks!\r<BR>\n" );
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document.write( "A family has two cars. During one particular week, the first car consumed 40<BR>\n" );
document.write( "gallons of gas and the second consumed 25 gallons of gas. The two cars drove a combined total of 1425 miles, and the sum of their fuel efficiencies was 45<BR>\n" );
document.write( "miles per gallon. What were the fuel efficiencies of each of the cars that week?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #592242 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=592242\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "The sum of the distances traveled by car 1 and car 2 was 1425 miles, so\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x_1\ +\ x_2\ =\ 1425\">\r<BR>\n" );
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document.write( "Since the assignment of variable names is arbitrary we can assume without loss of generality that car 1 is the car that used 40 gallons of gas.  So if <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x_1\"> is the distance traveled by that car, the fuel efficiency of that car is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{x_1}{40}\">.  Likewise the efficiency of the second car is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{x_2}{25}\">.  The sum of these two fuel efficencies is given as 45, hence:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{x_1}{40}\ +\ \frac{x_2}{25}\ =\ 45\">\r<BR>\n" );
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document.write( "Solve the 2X2 system of equations for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x_1\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x_2\"> \r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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